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Finding the Third Proportional to 658.69 and 1,340.16

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Solution

The third proportional to 658.69 and 1,340.16 is: 2,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.69 : 1,340.16 = 1,340.16 : x
  2. Step 2: Convert to fraction form
    658.69/1,340.16 = 1,340.16/x
  3. Step 3: Cross multiply
    658.69x = 1,340.16 × 1,340.16
  4. Step 4: Simplify right side
    658.69x = 1,796,018.77
  5. Step 5: Solve for x
    x = 1,796,018.77/658.69
  6. Step 6: Final answer
    x = 2,726.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.