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Finding the Third Proportional to 323,591.50 and 506,512.75

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Solution

The third proportional to 323,591.50 and 506,512.75 is: 792,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,591.50 : 506,512.75 = 506,512.75 : x
  2. Step 2: Convert to fraction form
    323,591.50/506,512.75 = 506,512.75/x
  3. Step 3: Cross multiply
    323,591.50x = 506,512.75 × 506,512.75
  4. Step 4: Simplify right side
    323,591.50x = 256,555,165,912.56
  5. Step 5: Solve for x
    x = 256,555,165,912.56/323,591.50
  6. Step 6: Final answer
    x = 792,836.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.