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Finding the Third Proportional to 250,680 and 547,092

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Solution

The third proportional to 250,680 and 547,092 is: 1,193,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,680 : 547,092 = 547,092 : x
  2. Step 2: Convert to fraction form
    250,680/547,092 = 547,092/x
  3. Step 3: Cross multiply
    250,680x = 547,092 × 547,092
  4. Step 4: Simplify right side
    250,680x = 299,309,656,464
  5. Step 5: Solve for x
    x = 299,309,656,464/250,680
  6. Step 6: Final answer
    x = 1,193,990.97

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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.