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Finding the Third Proportional to 382.64 and 833.20

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Solution

The third proportional to 382.64 and 833.20 is: 1,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.64 : 833.20 = 833.20 : x
  2. Step 2: Convert to fraction form
    382.64/833.20 = 833.20/x
  3. Step 3: Cross multiply
    382.64x = 833.20 × 833.20
  4. Step 4: Simplify right side
    382.64x = 694,227.45
  5. Step 5: Solve for x
    x = 694,227.45/382.64
  6. Step 6: Final answer
    x = 1,814.31

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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.