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Finding the Third Proportional to 327,591 and 440,209.50

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Solution

The third proportional to 327,591 and 440,209.50 is: 591,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,591 : 440,209.50 = 440,209.50 : x
  2. Step 2: Convert to fraction form
    327,591/440,209.50 = 440,209.50/x
  3. Step 3: Cross multiply
    327,591x = 440,209.50 × 440,209.50
  4. Step 4: Simplify right side
    327,591x = 193,784,403,890.25
  5. Step 5: Solve for x
    x = 193,784,403,890.25/327,591
  6. Step 6: Final answer
    x = 591,543.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.