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Finding the Third Proportional to 547.82 and 821.73

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Solution

The third proportional to 547.82 and 821.73 is: 1,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.82 : 821.73 = 821.73 : x
  2. Step 2: Convert to fraction form
    547.82/821.73 = 821.73/x
  3. Step 3: Cross multiply
    547.82x = 821.73 × 821.73
  4. Step 4: Simplify right side
    547.82x = 675,234.94
  5. Step 5: Solve for x
    x = 675,234.94/547.82
  6. Step 6: Final answer
    x = 1,232.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.