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Finding the Third Proportional to 691.03 and 1,098.56

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Solution

The third proportional to 691.03 and 1,098.56 is: 1,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.03 : 1,098.56 = 1,098.56 : x
  2. Step 2: Convert to fraction form
    691.03/1,098.56 = 1,098.56/x
  3. Step 3: Cross multiply
    691.03x = 1,098.56 × 1,098.56
  4. Step 4: Simplify right side
    691.03x = 1,206,839.57
  5. Step 5: Solve for x
    x = 1,206,839.57/691.03
  6. Step 6: Final answer
    x = 1,746.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.