On January $1,2025,$ Martinez Corporation purchased $345$ of the $$1,000$ face value, $9\%,10-$year bonds of Walters Inc. The bonds mature on January $1,2035,$ and pay interest annually beginning January $1,2026.$ Martinez purchased the bonds to yield $11\%.$ How much did Martinez pay for the bonds? $($Round factor values to $5$ decimal places, e$.$g$.1\mathrm{.}25124$ and final answer to $0$ decimal places, e$.$g$.458,581.)$

Martinez must pay for the bonds