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Finding the Third Proportional to 382.25 and 478.88

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Solution

The third proportional to 382.25 and 478.88 is: 599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.25 : 478.88 = 478.88 : x
  2. Step 2: Convert to fraction form
    382.25/478.88 = 478.88/x
  3. Step 3: Cross multiply
    382.25x = 478.88 × 478.88
  4. Step 4: Simplify right side
    382.25x = 229,321.27
  5. Step 5: Solve for x
    x = 229,321.27/382.25
  6. Step 6: Final answer
    x = 599.92

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.