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Finding the Third Proportional to 547.17 and 871.17

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Solution

The third proportional to 547.17 and 871.17 is: 1,387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.17 : 871.17 = 871.17 : x
  2. Step 2: Convert to fraction form
    547.17/871.17 = 871.17/x
  3. Step 3: Cross multiply
    547.17x = 871.17 × 871.17
  4. Step 4: Simplify right side
    547.17x = 758,940.44
  5. Step 5: Solve for x
    x = 758,940.44/547.17
  6. Step 6: Final answer
    x = 1,387.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.