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Finding the Third Proportional to 382.75 and 862.38

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Solution

The third proportional to 382.75 and 862.38 is: 1,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.75 : 862.38 = 862.38 : x
  2. Step 2: Convert to fraction form
    382.75/862.38 = 862.38/x
  3. Step 3: Cross multiply
    382.75x = 862.38 × 862.38
  4. Step 4: Simplify right side
    382.75x = 743,690.64
  5. Step 5: Solve for x
    x = 743,690.64/382.75
  6. Step 6: Final answer
    x = 1,943.02

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.