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Finding the Third Proportional to 382.75 and 539.25

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Solution

The third proportional to 382.75 and 539.25 is: 759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.75 : 539.25 = 539.25 : x
  2. Step 2: Convert to fraction form
    382.75/539.25 = 539.25/x
  3. Step 3: Cross multiply
    382.75x = 539.25 × 539.25
  4. Step 4: Simplify right side
    382.75x = 290,790.56
  5. Step 5: Solve for x
    x = 290,790.56/382.75
  6. Step 6: Final answer
    x = 759.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.