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Finding the Third Proportional to 267,651 and 391,429.13

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Solution

The third proportional to 267,651 and 391,429.13 is: 572,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,651 : 391,429.13 = 391,429.13 : x
  2. Step 2: Convert to fraction form
    267,651/391,429.13 = 391,429.13/x
  3. Step 3: Cross multiply
    267,651x = 391,429.13 × 391,429.13
  4. Step 4: Simplify right side
    267,651x = 153,216,759,898.27
  5. Step 5: Solve for x
    x = 153,216,759,898.27/267,651
  6. Step 6: Final answer
    x = 572,449.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.