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Finding the Third Proportional to 600.75 and 951.13

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Solution

The third proportional to 600.75 and 951.13 is: 1,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 951.13 = 951.13 : x
  2. Step 2: Convert to fraction form
    600.75/951.13 = 951.13/x
  3. Step 3: Cross multiply
    600.75x = 951.13 × 951.13
  4. Step 4: Simplify right side
    600.75x = 904,638.77
  5. Step 5: Solve for x
    x = 904,638.77/600.75
  6. Step 6: Final answer
    x = 1,505.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.