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Finding the Third Proportional to 758.53 and 1,098.42

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Solution

The third proportional to 758.53 and 1,098.42 is: 1,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.53 : 1,098.42 = 1,098.42 : x
  2. Step 2: Convert to fraction form
    758.53/1,098.42 = 1,098.42/x
  3. Step 3: Cross multiply
    758.53x = 1,098.42 × 1,098.42
  4. Step 4: Simplify right side
    758.53x = 1,206,530.62
  5. Step 5: Solve for x
    x = 1,206,530.62/758.53
  6. Step 6: Final answer
    x = 1,590.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.