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Finding the Third Proportional to 767,917.13 and 1,033,769.25

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Solution

The third proportional to 767,917.13 and 1,033,769.25 is: 1,391,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,917.13 : 1,033,769.25 = 1,033,769.25 : x
  2. Step 2: Convert to fraction form
    767,917.13/1,033,769.25 = 1,033,769.25/x
  3. Step 3: Cross multiply
    767,917.13x = 1,033,769.25 × 1,033,769.25
  4. Step 4: Simplify right side
    767,917.13x = 1,068,678,862,245.56
  5. Step 5: Solve for x
    x = 1,068,678,862,245.56/767,917.13
  6. Step 6: Final answer
    x = 1,391,659.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.