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Finding the Third Proportional to 327,100.50 and 463,866.75

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Solution

The third proportional to 327,100.50 and 463,866.75 is: 657,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,100.50 : 463,866.75 = 463,866.75 : x
  2. Step 2: Convert to fraction form
    327,100.50/463,866.75 = 463,866.75/x
  3. Step 3: Cross multiply
    327,100.50x = 463,866.75 × 463,866.75
  4. Step 4: Simplify right side
    327,100.50x = 215,172,361,755.56
  5. Step 5: Solve for x
    x = 215,172,361,755.56/327,100.50
  6. Step 6: Final answer
    x = 657,817.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.