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Finding the Third Proportional to 663.38 and 1,414.78

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Solution

The third proportional to 663.38 and 1,414.78 is: 3,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.38 : 1,414.78 = 1,414.78 : x
  2. Step 2: Convert to fraction form
    663.38/1,414.78 = 1,414.78/x
  3. Step 3: Cross multiply
    663.38x = 1,414.78 × 1,414.78
  4. Step 4: Simplify right side
    663.38x = 2,001,605.99
  5. Step 5: Solve for x
    x = 2,001,605.99/663.38
  6. Step 6: Final answer
    x = 3,017.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.