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Finding the Third Proportional to 381,634.13 and 518,290.88

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Solution

The third proportional to 381,634.13 and 518,290.88 is: 703,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,634.13 : 518,290.88 = 518,290.88 : x
  2. Step 2: Convert to fraction form
    381,634.13/518,290.88 = 518,290.88/x
  3. Step 3: Cross multiply
    381,634.13x = 518,290.88 × 518,290.88
  4. Step 4: Simplify right side
    381,634.13x = 268,625,431,108.27
  5. Step 5: Solve for x
    x = 268,625,431,108.27/381,634.13
  6. Step 6: Final answer
    x = 703,882.10

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.