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Finding the Third Proportional to 322,183.13 and 636,234.75

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Solution

The third proportional to 322,183.13 and 636,234.75 is: 1,256,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,183.13 : 636,234.75 = 636,234.75 : x
  2. Step 2: Convert to fraction form
    322,183.13/636,234.75 = 636,234.75/x
  3. Step 3: Cross multiply
    322,183.13x = 636,234.75 × 636,234.75
  4. Step 4: Simplify right side
    322,183.13x = 404,794,657,107.56
  5. Step 5: Solve for x
    x = 404,794,657,107.56/322,183.13
  6. Step 6: Final answer
    x = 1,256,411.73

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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.