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Finding the Third Proportional to 322,183.13 and 636,229.13

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Solution

The third proportional to 322,183.13 and 636,229.13 is: 1,256,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,183.13 : 636,229.13 = 636,229.13 : x
  2. Step 2: Convert to fraction form
    322,183.13/636,229.13 = 636,229.13/x
  3. Step 3: Cross multiply
    322,183.13x = 636,229.13 × 636,229.13
  4. Step 4: Simplify right side
    322,183.13x = 404,787,499,498.27
  5. Step 5: Solve for x
    x = 404,787,499,498.27/322,183.13
  6. Step 6: Final answer
    x = 1,256,389.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.