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Finding the Third Proportional to 327,631.50 and 490,961.25

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Solution

The third proportional to 327,631.50 and 490,961.25 is: 735,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,631.50 : 490,961.25 = 490,961.25 : x
  2. Step 2: Convert to fraction form
    327,631.50/490,961.25 = 490,961.25/x
  3. Step 3: Cross multiply
    327,631.50x = 490,961.25 × 490,961.25
  4. Step 4: Simplify right side
    327,631.50x = 241,042,949,001.56
  5. Step 5: Solve for x
    x = 241,042,949,001.56/327,631.50
  6. Step 6: Final answer
    x = 735,713.60

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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.