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Finding the Third Proportional to 238,874.06 and 517,600.13

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Solution

The third proportional to 238,874.06 and 517,600.13 is: 1,121,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,874.06 : 517,600.13 = 517,600.13 : x
  2. Step 2: Convert to fraction form
    238,874.06/517,600.13 = 517,600.13/x
  3. Step 3: Cross multiply
    238,874.06x = 517,600.13 × 517,600.13
  4. Step 4: Simplify right side
    238,874.06x = 267,909,889,400.02
  5. Step 5: Solve for x
    x = 267,909,889,400.02/238,874.06
  6. Step 6: Final answer
    x = 1,121,552.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.