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Finding the Third Proportional to 408 and 596.75

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Solution

The third proportional to 408 and 596.75 is: 872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 596.75 = 596.75 : x
  2. Step 2: Convert to fraction form
    408/596.75 = 596.75/x
  3. Step 3: Cross multiply
    408x = 596.75 × 596.75
  4. Step 4: Simplify right side
    408x = 356,110.56
  5. Step 5: Solve for x
    x = 356,110.56/408
  6. Step 6: Final answer
    x = 872.82

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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.