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Finding the Third Proportional to 518,352.75 and 811,387.97

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Solution

The third proportional to 518,352.75 and 811,387.97 is: 1,270,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,352.75 : 811,387.97 = 811,387.97 : x
  2. Step 2: Convert to fraction form
    518,352.75/811,387.97 = 811,387.97/x
  3. Step 3: Cross multiply
    518,352.75x = 811,387.97 × 811,387.97
  4. Step 4: Simplify right side
    518,352.75x = 658,350,435,832.25
  5. Step 5: Solve for x
    x = 658,350,435,832.25/518,352.75
  6. Step 6: Final answer
    x = 1,270,081.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.