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Finding the Third Proportional to 732.94 and 951.19

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Solution

The third proportional to 732.94 and 951.19 is: 1,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.94 : 951.19 = 951.19 : x
  2. Step 2: Convert to fraction form
    732.94/951.19 = 951.19/x
  3. Step 3: Cross multiply
    732.94x = 951.19 × 951.19
  4. Step 4: Simplify right side
    732.94x = 904,757.66
  5. Step 5: Solve for x
    x = 904,757.66/732.94
  6. Step 6: Final answer
    x = 1,234.43

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.