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Finding the Third Proportional to 576,560,315.50 and 861,062,319.38

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Solution

The third proportional to 576,560,315.50 and 861,062,319.38 is: 1,285,951,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,560,315.50 : 861,062,319.38 = 861,062,319.38 : x
  2. Step 2: Convert to fraction form
    576,560,315.50/861,062,319.38 = 861,062,319.38/x
  3. Step 3: Cross multiply
    576,560,315.50x = 861,062,319.38 × 861,062,319.38
  4. Step 4: Simplify right side
    576,560,315.50x = 741,428,317,847,454,464
  5. Step 5: Solve for x
    x = 741,428,317,847,454,464/576,560,315.50
  6. Step 6: Final answer
    x = 1,285,951,006.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.