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Finding the Third Proportional to 616.75 and 1,414.75

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Solution

The third proportional to 616.75 and 1,414.75 is: 3,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.75 : 1,414.75 = 1,414.75 : x
  2. Step 2: Convert to fraction form
    616.75/1,414.75 = 1,414.75/x
  3. Step 3: Cross multiply
    616.75x = 1,414.75 × 1,414.75
  4. Step 4: Simplify right side
    616.75x = 2,001,517.56
  5. Step 5: Solve for x
    x = 2,001,517.56/616.75
  6. Step 6: Final answer
    x = 3,245.27

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.