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Finding the Third Proportional to 382.56 and 833.44

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Solution

The third proportional to 382.56 and 833.44 is: 1,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.56 : 833.44 = 833.44 : x
  2. Step 2: Convert to fraction form
    382.56/833.44 = 833.44/x
  3. Step 3: Cross multiply
    382.56x = 833.44 × 833.44
  4. Step 4: Simplify right side
    382.56x = 694,618.07
  5. Step 5: Solve for x
    x = 694,618.07/382.56
  6. Step 6: Final answer
    x = 1,815.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.