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Finding the Third Proportional to 251,229.56 and 547,630.13

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Solution

The third proportional to 251,229.56 and 547,630.13 is: 1,193,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,229.56 : 547,630.13 = 547,630.13 : x
  2. Step 2: Convert to fraction form
    251,229.56/547,630.13 = 547,630.13/x
  3. Step 3: Cross multiply
    251,229.56x = 547,630.13 × 547,630.13
  4. Step 4: Simplify right side
    251,229.56x = 299,898,753,807.52
  5. Step 5: Solve for x
    x = 299,898,753,807.52/251,229.56
  6. Step 6: Final answer
    x = 1,193,723.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.