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Finding the Third Proportional to 487,353 and 731,030

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Solution

The third proportional to 487,353 and 731,030 is: 1,096,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,353 : 731,030 = 731,030 : x
  2. Step 2: Convert to fraction form
    487,353/731,030 = 731,030/x
  3. Step 3: Cross multiply
    487,353x = 731,030 × 731,030
  4. Step 4: Simplify right side
    487,353x = 534,404,860,900
  5. Step 5: Solve for x
    x = 534,404,860,900/487,353
  6. Step 6: Final answer
    x = 1,096,545.75

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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.