Finding the Third Proportional to 300,472.50 and 709,293
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Solution
The third proportional to 300,472.50 and 709,293 is: 1,674,351.43
Step by Step Solution
- Step 1: Write the proportion equation
300,472.50 : 709,293 = 709,293 : x - Step 2: Convert to fraction form
300,472.50/709,293 = 709,293/x - Step 3: Cross multiply
300,472.50x = 709,293 × 709,293 - Step 4: Simplify right side
300,472.50x = 503,096,559,849 - Step 5: Solve for x
x = 503,096,559,849/300,472.50 - Step 6: Final answer
x = 1,674,351.43
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.