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Finding the Third Proportional to 327,224 and 441,975

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Solution

The third proportional to 327,224 and 441,975 is: 596,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,224 : 441,975 = 441,975 : x
  2. Step 2: Convert to fraction form
    327,224/441,975 = 441,975/x
  3. Step 3: Cross multiply
    327,224x = 441,975 × 441,975
  4. Step 4: Simplify right side
    327,224x = 195,341,900,625
  5. Step 5: Solve for x
    x = 195,341,900,625/327,224
  6. Step 6: Final answer
    x = 596,966.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.