A typographical error in yesterday's editions incorrectly listed the scheduled opening date for the Metro subway Red Line extension between Van Ness Centre in Washington and Shady Grove Road in Rockville. That segment is scheduled to open in late 1983.

General Manager Richard S. Page proposed to Metro Board members yesterday a new construction schedule that would bring the 101-mile subway system to completion in 1989, nine months earlier than presently planned.

Page said he hoped the new schedule will be the basis in the coming months for local governments to negotiate a final contract that would guarantee the money for Metro's completion.

At the same time, Page Disclosed Metro's latest estimate of the total cost of the subway system, which he said has risen $450 million to $7.65 billion in the last 18 months.

The new schedule makes no changes in the first 60 miles of the system, 33 of which are now in operation. The Addison Road extension of the Blue Line from Stadium-Armory is scheduled late this year, to be followed a year later by the Red Line extension from Dupont Circle north to Van Ness Centre and in 1985 to Shady Grove Road north of Rockville. The 60 miles will be completed with the opening of the Huntington extension of the Blue Line from National Airport early in 1982.

Under the proposed new schedule for the remaining 40 miles:

The Potomac River crossing between the Pentagon and L'Enfant Plaza would be opened late in 1982, no change from the present schedule.

The Orange Line from Ballston to its final terminal in Vienna would open late in 1984, six months earlier than presently planned.

The Green Line from Gallery Place through Southwest Washington to Anacostia would open in the fall of 1985, as presently scheduled.

The Franconia/Springfield extension from Alexandria on the Yellow Line would open in mid-1986, a year later than presently scheduled.

The Glenmont extension of the Red Line from Silver Spring would open in mid-1986, a few months earlier than scheduled.

The Green Line from Anacostia to Rosecroft Raceway would open in spring 1987, a few months later than scheduled now.

The Green-Yellow Line from Fort Totten to Greenbelt would open in mid-1988, about a year earlier than scheduled.

The last leg of the Green-Yellow Line, from Gallery Place to Fort Totten, would open in mid-1989, as scheduled.

Although that proposed schedule is subject to negotiation, Page said it was based exlusively on engineering judgments as to the best way to schedule the project.

He said that the federal Department of Transportation and the Office of Management and Budget have invited Metro to make such a presentation despite the fact that money needs in early years exceed present federal projections.

Page released the estimate and the proposed schedule at a meeting of Metro's Ad Hoc Committee on the Financial Plan, a steering group of board members who have negotiated many of the scheduling and construction compromises that have been necessary in recent months to keep the Metro program alive.

The first official estimate of what it would cost to build Metro came in 1968 and totaled $2.5 billion.Metro is now projected to cost three times that amount and take twice as long to complete as originally scheduled.

"I have a lot more confidence about this [new] program, Page said in an interview. However, he said, if inflation exceeds Metro's estimates and if projects are delayed because of a lack of federal appropriations or local political delays, Metro "will cost more" than $7.65 billion.

Page said the $1.7 billion Metro money bill recently signed by President Carter authorizes sufficient federal funds to meet the new estimate, but leaves little room for further growth. Local governments must put up $1 for every $4 that the federal government provides, so any increase in cost means an increase in local contributions as well.

The new estimate reflects a 12 percent inflation rate in calendar 1979, assumes 10 percent in 1980 and 8.1 percent for the remaining nine years. The previous estimate had assumed inflation at 6 percent annually.

The new cost estimate surprise no one; the rate of inflation has been no secret. There was more interest yesterday in the proposed new construction schedule.