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Finding the Third Proportional to 517,353.75 and 695,233.13

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Solution

The third proportional to 517,353.75 and 695,233.13 is: 934,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,353.75 : 695,233.13 = 695,233.13 : x
  2. Step 2: Convert to fraction form
    517,353.75/695,233.13 = 695,233.13/x
  3. Step 3: Cross multiply
    517,353.75x = 695,233.13 × 695,233.13
  4. Step 4: Simplify right side
    517,353.75x = 483,349,098,097.27
  5. Step 5: Solve for x
    x = 483,349,098,097.27/517,353.75
  6. Step 6: Final answer
    x = 934,271.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.