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Finding the Third Proportional to 691.24 and 1,498.92

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Solution

The third proportional to 691.24 and 1,498.92 is: 3,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.24 : 1,498.92 = 1,498.92 : x
  2. Step 2: Convert to fraction form
    691.24/1,498.92 = 1,498.92/x
  3. Step 3: Cross multiply
    691.24x = 1,498.92 × 1,498.92
  4. Step 4: Simplify right side
    691.24x = 2,246,766.79
  5. Step 5: Solve for x
    x = 2,246,766.79/691.24
  6. Step 6: Final answer
    x = 3,250.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.