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Finding the Third Proportional to 394,206.75 and 851,608.69

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Solution

The third proportional to 394,206.75 and 851,608.69 is: 1,839,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,206.75 : 851,608.69 = 851,608.69 : x
  2. Step 2: Convert to fraction form
    394,206.75/851,608.69 = 851,608.69/x
  3. Step 3: Cross multiply
    394,206.75x = 851,608.69 × 851,608.69
  4. Step 4: Simplify right side
    394,206.75x = 725,237,356,625.47
  5. Step 5: Solve for x
    x = 725,237,356,625.47/394,206.75
  6. Step 6: Final answer
    x = 1,839,738.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.