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Finding the Third Proportional to 742.29 and 1,044.14

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Solution

The third proportional to 742.29 and 1,044.14 is: 1,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.29 : 1,044.14 = 1,044.14 : x
  2. Step 2: Convert to fraction form
    742.29/1,044.14 = 1,044.14/x
  3. Step 3: Cross multiply
    742.29x = 1,044.14 × 1,044.14
  4. Step 4: Simplify right side
    742.29x = 1,090,229.64
  5. Step 5: Solve for x
    x = 1,090,229.64/742.29
  6. Step 6: Final answer
    x = 1,468.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.