A court has ordered Security Enterprises to pay $$300,000$ in two years and $$900,000$ in five years. In order to meet this important liability, they wish to invest in a combination of two$-$year $10\%$ par$-$value bonds with annual coupons and five$-$year zero$-$coupon bonds. Each of these is sold to yield an annual effective yield of $5\%.$ How much of each type of bond should be purchased so that the present value and duration conditions of Redington immunization are satisfied at the current $5\%$ rate? $($Let P$2$ and P$5$ denote the prices of the two$-$year bond and of the five$-$year bond, respectively. Round your answers to the nearest cent.$)$