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Finding the Third Proportional to 643.22 and 871.73

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Solution

The third proportional to 643.22 and 871.73 is: 1,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.22 : 871.73 = 871.73 : x
  2. Step 2: Convert to fraction form
    643.22/871.73 = 871.73/x
  3. Step 3: Cross multiply
    643.22x = 871.73 × 871.73
  4. Step 4: Simplify right side
    643.22x = 759,920.82
  5. Step 5: Solve for x
    x = 759,920.82/643.22
  6. Step 6: Final answer
    x = 1,181.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.