Finding the Third Proportional to 472,740 and 709,470
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Solution
The third proportional to 472,740 and 709,470 is: 1,064,745.27
Step by Step Solution
- Step 1: Write the proportion equation
472,740 : 709,470 = 709,470 : x - Step 2: Convert to fraction form
472,740/709,470 = 709,470/x - Step 3: Cross multiply
472,740x = 709,470 × 709,470 - Step 4: Simplify right side
472,740x = 503,347,680,900 - Step 5: Solve for x
x = 503,347,680,900/472,740 - Step 6: Final answer
x = 1,064,745.27
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.