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Finding the Third Proportional to 461,053,372.50 and 708,234,375.38

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Solution

The third proportional to 461,053,372.50 and 708,234,375.38 is: 1,087,934,630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,053,372.50 : 708,234,375.38 = 708,234,375.38 : x
  2. Step 2: Convert to fraction form
    461,053,372.50/708,234,375.38 = 708,234,375.38/x
  3. Step 3: Cross multiply
    461,053,372.50x = 708,234,375.38 × 708,234,375.38
  4. Step 4: Simplify right side
    461,053,372.50x = 501,595,930,462,816,384
  5. Step 5: Solve for x
    x = 501,595,930,462,816,384/461,053,372.50
  6. Step 6: Final answer
    x = 1,087,934,630.52

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Why These Related Problems?

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