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Finding the Third Proportional to 381.38 and 829.31

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Solution

The third proportional to 381.38 and 829.31 is: 1,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.38 : 829.31 = 829.31 : x
  2. Step 2: Convert to fraction form
    381.38/829.31 = 829.31/x
  3. Step 3: Cross multiply
    381.38x = 829.31 × 829.31
  4. Step 4: Simplify right side
    381.38x = 687,759.22
  5. Step 5: Solve for x
    x = 687,759.22/381.38
  6. Step 6: Final answer
    x = 1,803.37

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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.