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Finding the Third Proportional to 396,829.13 and 862,957.13

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Solution

The third proportional to 396,829.13 and 862,957.13 is: 1,876,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,829.13 : 862,957.13 = 862,957.13 : x
  2. Step 2: Convert to fraction form
    396,829.13/862,957.13 = 862,957.13/x
  3. Step 3: Cross multiply
    396,829.13x = 862,957.13 × 862,957.13
  4. Step 4: Simplify right side
    396,829.13x = 744,694,999,588.27
  5. Step 5: Solve for x
    x = 744,694,999,588.27/396,829.13
  6. Step 6: Final answer
    x = 1,876,613.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.