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Finding the Third Proportional to 444.38 and 667.13

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Solution

The third proportional to 444.38 and 667.13 is: 1,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.38 : 667.13 = 667.13 : x
  2. Step 2: Convert to fraction form
    444.38/667.13 = 667.13/x
  3. Step 3: Cross multiply
    444.38x = 667.13 × 667.13
  4. Step 4: Simplify right side
    444.38x = 445,055.77
  5. Step 5: Solve for x
    x = 445,055.77/444.38
  6. Step 6: Final answer
    x = 1,001.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.