ST. PAUL — The Mayo Clinic is partway to its goal of winning state financial support for an expansion project in Rochester.

The tax bill that cleared the Minnesota House floor on Wednesday would commit about $400 million in state taxpayer dollars to the Mayo-driven Destination Medical Center project. It calls for a massive build-out of the clinic with a promise of spinoff retail, dining and entertainment development around the state’s third largest city. Private investment could top $5 billion.

The state contribution would pay for public infrastructure essential to the development and not for construction on Mayo’s property.

The Senate’s version contains more state dollars for the Mayo plan, but it would also require private investors to ante up more.