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Finding the Third Proportional to 381,379.13 and 517,955.63

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Solution

The third proportional to 381,379.13 and 517,955.63 is: 703,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,379.13 : 517,955.63 = 517,955.63 : x
  2. Step 2: Convert to fraction form
    381,379.13/517,955.63 = 517,955.63/x
  3. Step 3: Cross multiply
    381,379.13x = 517,955.63 × 517,955.63
  4. Step 4: Simplify right side
    381,379.13x = 268,278,029,469.14
  5. Step 5: Solve for x
    x = 268,278,029,469.14/381,379.13
  6. Step 6: Final answer
    x = 703,441.83

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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.