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Finding the Third Proportional to 658.97 and 1,382.44

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Solution

The third proportional to 658.97 and 1,382.44 is: 2,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.97 : 1,382.44 = 1,382.44 : x
  2. Step 2: Convert to fraction form
    658.97/1,382.44 = 1,382.44/x
  3. Step 3: Cross multiply
    658.97x = 1,382.44 × 1,382.44
  4. Step 4: Simplify right side
    658.97x = 1,911,133.44
  5. Step 5: Solve for x
    x = 1,911,133.44/658.97
  6. Step 6: Final answer
    x = 2,900.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.