Finding the Third Proportional to 288,231.75 and 460,455.75
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Solution
The third proportional to 288,231.75 and 460,455.75 is: 735,586.89
Step by Step Solution
- Step 1: Write the proportion equation
288,231.75 : 460,455.75 = 460,455.75 : x - Step 2: Convert to fraction form
288,231.75/460,455.75 = 460,455.75/x - Step 3: Cross multiply
288,231.75x = 460,455.75 × 460,455.75 - Step 4: Simplify right side
288,231.75x = 212,019,497,708.06 - Step 5: Solve for x
x = 212,019,497,708.06/288,231.75 - Step 6: Final answer
x = 735,586.89
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.