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Finding the Third Proportional to 323,591.25 and 506,512.50

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Solution

The third proportional to 323,591.25 and 506,512.50 is: 792,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,591.25 : 506,512.50 = 506,512.50 : x
  2. Step 2: Convert to fraction form
    323,591.25/506,512.50 = 506,512.50/x
  3. Step 3: Cross multiply
    323,591.25x = 506,512.50 × 506,512.50
  4. Step 4: Simplify right side
    323,591.25x = 256,554,912,656.25
  5. Step 5: Solve for x
    x = 256,554,912,656.25/323,591.25
  6. Step 6: Final answer
    x = 792,836.37

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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.