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Finding the Third Proportional to 649.27 and 951.12

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Solution

The third proportional to 649.27 and 951.12 is: 1,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.27 : 951.12 = 951.12 : x
  2. Step 2: Convert to fraction form
    649.27/951.12 = 951.12/x
  3. Step 3: Cross multiply
    649.27x = 951.12 × 951.12
  4. Step 4: Simplify right side
    649.27x = 904,623.90
  5. Step 5: Solve for x
    x = 904,623.90/649.27
  6. Step 6: Final answer
    x = 1,393.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.