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Finding the Third Proportional to 408.16 and 960.61

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Solution

The third proportional to 408.16 and 960.61 is: 2,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.16 : 960.61 = 960.61 : x
  2. Step 2: Convert to fraction form
    408.16/960.61 = 960.61/x
  3. Step 3: Cross multiply
    408.16x = 960.61 × 960.61
  4. Step 4: Simplify right side
    408.16x = 922,770.37
  5. Step 5: Solve for x
    x = 922,770.37/408.16
  6. Step 6: Final answer
    x = 2,260.78

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.