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Finding the Third Proportional to 331.50 and 729.25

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Solution

The third proportional to 331.50 and 729.25 is: 1,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.50 : 729.25 = 729.25 : x
  2. Step 2: Convert to fraction form
    331.50/729.25 = 729.25/x
  3. Step 3: Cross multiply
    331.50x = 729.25 × 729.25
  4. Step 4: Simplify right side
    331.50x = 531,805.56
  5. Step 5: Solve for x
    x = 531,805.56/331.50
  6. Step 6: Final answer
    x = 1,604.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.