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Finding the Third Proportional to 658.69 and 1,463.06

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Solution

The third proportional to 658.69 and 1,463.06 is: 3,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.69 : 1,463.06 = 1,463.06 : x
  2. Step 2: Convert to fraction form
    658.69/1,463.06 = 1,463.06/x
  3. Step 3: Cross multiply
    658.69x = 1,463.06 × 1,463.06
  4. Step 4: Simplify right side
    658.69x = 2,140,551.88
  5. Step 5: Solve for x
    x = 2,140,551.88/658.69
  6. Step 6: Final answer
    x = 3,249.72

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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.