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Finding the Third Proportional to 382.36 and 829.55

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Solution

The third proportional to 382.36 and 829.55 is: 1,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.36 : 829.55 = 829.55 : x
  2. Step 2: Convert to fraction form
    382.36/829.55 = 829.55/x
  3. Step 3: Cross multiply
    382.36x = 829.55 × 829.55
  4. Step 4: Simplify right side
    382.36x = 688,148.02
  5. Step 5: Solve for x
    x = 688,148.02/382.36
  6. Step 6: Final answer
    x = 1,799.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.