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Finding the Third Proportional to 658.22 and 1,462.41

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Solution

The third proportional to 658.22 and 1,462.41 is: 3,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.22 : 1,462.41 = 1,462.41 : x
  2. Step 2: Convert to fraction form
    658.22/1,462.41 = 1,462.41/x
  3. Step 3: Cross multiply
    658.22x = 1,462.41 × 1,462.41
  4. Step 4: Simplify right side
    658.22x = 2,138,632.04
  5. Step 5: Solve for x
    x = 2,138,632.04/658.22
  6. Step 6: Final answer
    x = 3,249.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.