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Finding the Third Proportional to 600,037.50 and 844,027.50

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Solution

The third proportional to 600,037.50 and 844,027.50 is: 1,187,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,037.50 : 844,027.50 = 844,027.50 : x
  2. Step 2: Convert to fraction form
    600,037.50/844,027.50 = 844,027.50/x
  3. Step 3: Cross multiply
    600,037.50x = 844,027.50 × 844,027.50
  4. Step 4: Simplify right side
    600,037.50x = 712,382,420,756.25
  5. Step 5: Solve for x
    x = 712,382,420,756.25/600,037.50
  6. Step 6: Final answer
    x = 1,187,229.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.