A plan to extend the Bay Area Rapid Transit system to Silicon Valley scored a come-from-behind victory this week, as the Santa Clara County registrar of voters certified that an eighth-cent sales tax to operate the new line was approved by voters last month.

The measure, which required approval by two-thirds of Santa Clara voters, passed with 414,328, or 66.78%, of 620,431 votes cast. That gave it a 707-vote margin of victory in an election that required a two-thirds majority.

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