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Finding the Third Proportional to 337,943.25 and 523,091.25

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Solution

The third proportional to 337,943.25 and 523,091.25 is: 809,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,943.25 : 523,091.25 = 523,091.25 : x
  2. Step 2: Convert to fraction form
    337,943.25/523,091.25 = 523,091.25/x
  3. Step 3: Cross multiply
    337,943.25x = 523,091.25 × 523,091.25
  4. Step 4: Simplify right side
    337,943.25x = 273,624,455,826.56
  5. Step 5: Solve for x
    x = 273,624,455,826.56/337,943.25
  6. Step 6: Final answer
    x = 809,675.75

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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.