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Finding the Third Proportional to 323,378,892 and 497,061,812

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Solution

The third proportional to 323,378,892 and 497,061,812 is: 764,027,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,378,892 : 497,061,812 = 497,061,812 : x
  2. Step 2: Convert to fraction form
    323,378,892/497,061,812 = 497,061,812/x
  3. Step 3: Cross multiply
    323,378,892x = 497,061,812 × 497,061,812
  4. Step 4: Simplify right side
    323,378,892x = 247,070,444,948,723,328
  5. Step 5: Solve for x
    x = 247,070,444,948,723,328/323,378,892
  6. Step 6: Final answer
    x = 764,027,742.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.