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Finding the Third Proportional to 497,531 and 747,753

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Solution

The third proportional to 497,531 and 747,753 is: 1,123,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,531 : 747,753 = 747,753 : x
  2. Step 2: Convert to fraction form
    497,531/747,753 = 747,753/x
  3. Step 3: Cross multiply
    497,531x = 747,753 × 747,753
  4. Step 4: Simplify right side
    497,531x = 559,134,549,009
  5. Step 5: Solve for x
    x = 559,134,549,009/497,531
  6. Step 6: Final answer
    x = 1,123,818.51

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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.