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Finding the Third Proportional to 767,149.50 and 1,150,725

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Solution

The third proportional to 767,149.50 and 1,150,725 is: 1,726,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,149.50 : 1,150,725 = 1,150,725 : x
  2. Step 2: Convert to fraction form
    767,149.50/1,150,725 = 1,150,725/x
  3. Step 3: Cross multiply
    767,149.50x = 1,150,725 × 1,150,725
  4. Step 4: Simplify right side
    767,149.50x = 1,324,168,025,625
  5. Step 5: Solve for x
    x = 1,324,168,025,625/767,149.50
  6. Step 6: Final answer
    x = 1,726,088.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.