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Finding the Third Proportional to 747.17 and 1,527.34

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Solution

The third proportional to 747.17 and 1,527.34 is: 3,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.17 : 1,527.34 = 1,527.34 : x
  2. Step 2: Convert to fraction form
    747.17/1,527.34 = 1,527.34/x
  3. Step 3: Cross multiply
    747.17x = 1,527.34 × 1,527.34
  4. Step 4: Simplify right side
    747.17x = 2,332,778.93
  5. Step 5: Solve for x
    x = 2,332,778.93/747.17
  6. Step 6: Final answer
    x = 3,122.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.