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Finding the Third Proportional to 663.38 and 961.31

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Solution

The third proportional to 663.38 and 961.31 is: 1,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.38 : 961.31 = 961.31 : x
  2. Step 2: Convert to fraction form
    663.38/961.31 = 961.31/x
  3. Step 3: Cross multiply
    663.38x = 961.31 × 961.31
  4. Step 4: Simplify right side
    663.38x = 924,121.72
  5. Step 5: Solve for x
    x = 924,121.72/663.38
  6. Step 6: Final answer
    x = 1,393.06

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.