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Finding the Third Proportional to 382.43 and 839.11

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Solution

The third proportional to 382.43 and 839.11 is: 1,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.43 : 839.11 = 839.11 : x
  2. Step 2: Convert to fraction form
    382.43/839.11 = 839.11/x
  3. Step 3: Cross multiply
    382.43x = 839.11 × 839.11
  4. Step 4: Simplify right side
    382.43x = 704,104.54
  5. Step 5: Solve for x
    x = 704,104.54/382.43
  6. Step 6: Final answer
    x = 1,841.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.