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Finding the Third Proportional to 475,522 and 738,675

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Solution

The third proportional to 475,522 and 738,675 is: 1,147,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,522 : 738,675 = 738,675 : x
  2. Step 2: Convert to fraction form
    475,522/738,675 = 738,675/x
  3. Step 3: Cross multiply
    475,522x = 738,675 × 738,675
  4. Step 4: Simplify right side
    475,522x = 545,640,755,625
  5. Step 5: Solve for x
    x = 545,640,755,625/475,522
  6. Step 6: Final answer
    x = 1,147,456.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.