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Finding the Third Proportional to 658.41 and 963.28

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Solution

The third proportional to 658.41 and 963.28 is: 1,409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.41 : 963.28 = 963.28 : x
  2. Step 2: Convert to fraction form
    658.41/963.28 = 963.28/x
  3. Step 3: Cross multiply
    658.41x = 963.28 × 963.28
  4. Step 4: Simplify right side
    658.41x = 927,910.77
  5. Step 5: Solve for x
    x = 927,910.77/658.41
  6. Step 6: Final answer
    x = 1,409.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.