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Finding the Third Proportional to 252,682.13 and 381,649.13

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Solution

The third proportional to 252,682.13 and 381,649.13 is: 576,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,682.13 : 381,649.13 = 381,649.13 : x
  2. Step 2: Convert to fraction form
    252,682.13/381,649.13 = 381,649.13/x
  3. Step 3: Cross multiply
    252,682.13x = 381,649.13 × 381,649.13
  4. Step 4: Simplify right side
    252,682.13x = 145,656,054,613.27
  5. Step 5: Solve for x
    x = 145,656,054,613.27/252,682.13
  6. Step 6: Final answer
    x = 576,439.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.