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Finding the Third Proportional to 767,104.75 and 1,150,657.13

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Solution

The third proportional to 767,104.75 and 1,150,657.13 is: 1,725,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,104.75 : 1,150,657.13 = 1,150,657.13 : x
  2. Step 2: Convert to fraction form
    767,104.75/1,150,657.13 = 1,150,657.13/x
  3. Step 3: Cross multiply
    767,104.75x = 1,150,657.13 × 1,150,657.13
  4. Step 4: Simplify right side
    767,104.75x = 1,324,011,819,313.27
  5. Step 5: Solve for x
    x = 1,324,011,819,313.27/767,104.75
  6. Step 6: Final answer
    x = 1,725,985.69

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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.