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Finding the Third Proportional to 337,947.19 and 523,099.69

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Solution

The third proportional to 337,947.19 and 523,099.69 is: 809,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,947.19 : 523,099.69 = 523,099.69 : x
  2. Step 2: Convert to fraction form
    337,947.19/523,099.69 = 523,099.69/x
  3. Step 3: Cross multiply
    337,947.19x = 523,099.69 × 523,099.69
  4. Step 4: Simplify right side
    337,947.19x = 273,633,283,062.60
  5. Step 5: Solve for x
    x = 273,633,283,062.60/337,947.19
  6. Step 6: Final answer
    x = 809,692.44

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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.