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Finding the Third Proportional to 614.25 and 951.13

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Solution

The third proportional to 614.25 and 951.13 is: 1,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.25 : 951.13 = 951.13 : x
  2. Step 2: Convert to fraction form
    614.25/951.13 = 951.13/x
  3. Step 3: Cross multiply
    614.25x = 951.13 × 951.13
  4. Step 4: Simplify right side
    614.25x = 904,638.77
  5. Step 5: Solve for x
    x = 904,638.77/614.25
  6. Step 6: Final answer
    x = 1,472.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.