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Finding the Third Proportional to 337,972.50 and 523,138.50

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Solution

The third proportional to 337,972.50 and 523,138.50 is: 809,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,972.50 : 523,138.50 = 523,138.50 : x
  2. Step 2: Convert to fraction form
    337,972.50/523,138.50 = 523,138.50/x
  3. Step 3: Cross multiply
    337,972.50x = 523,138.50 × 523,138.50
  4. Step 4: Simplify right side
    337,972.50x = 273,673,890,182.25
  5. Step 5: Solve for x
    x = 273,673,890,182.25/337,972.50
  6. Step 6: Final answer
    x = 809,751.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.