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Finding the Third Proportional to 667.13 and 1,044.42

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Solution

The third proportional to 667.13 and 1,044.42 is: 1,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.13 : 1,044.42 = 1,044.42 : x
  2. Step 2: Convert to fraction form
    667.13/1,044.42 = 1,044.42/x
  3. Step 3: Cross multiply
    667.13x = 1,044.42 × 1,044.42
  4. Step 4: Simplify right side
    667.13x = 1,090,817.05
  5. Step 5: Solve for x
    x = 1,090,817.05/667.13
  6. Step 6: Final answer
    x = 1,635.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.