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Finding the Third Proportional to 382.22 and 574.17

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Solution

The third proportional to 382.22 and 574.17 is: 862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 574.17 = 574.17 : x
  2. Step 2: Convert to fraction form
    382.22/574.17 = 574.17/x
  3. Step 3: Cross multiply
    382.22x = 574.17 × 574.17
  4. Step 4: Simplify right side
    382.22x = 329,673.34
  5. Step 5: Solve for x
    x = 329,673.34/382.22
  6. Step 6: Final answer
    x = 862.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.