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Finding the Third Proportional to 592.03 and 1,098.42

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Solution

The third proportional to 592.03 and 1,098.42 is: 2,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.03 : 1,098.42 = 1,098.42 : x
  2. Step 2: Convert to fraction form
    592.03/1,098.42 = 1,098.42/x
  3. Step 3: Cross multiply
    592.03x = 1,098.42 × 1,098.42
  4. Step 4: Simplify right side
    592.03x = 1,206,530.62
  5. Step 5: Solve for x
    x = 1,206,530.62/592.03
  6. Step 6: Final answer
    x = 2,037.95

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.