A large power plant generates electricity at $12\mathrm{.}0$ kV$.$ Its old transformer once converted the voltage to $335$ kV$.$ The secondary coil of this transformer is being replaced so that its output can be $770$ kV for more efficient cross$-$country transmission on upgraded transmission lines.

$$ Part $($a$)$

What is the ratio of turns in the new secondary to the number of turns in the old secondary$?$