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Finding the Third Proportional to 394,204 and 606,750

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Solution

The third proportional to 394,204 and 606,750 is: 933,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,204 : 606,750 = 606,750 : x
  2. Step 2: Convert to fraction form
    394,204/606,750 = 606,750/x
  3. Step 3: Cross multiply
    394,204x = 606,750 × 606,750
  4. Step 4: Simplify right side
    394,204x = 368,145,562,500
  5. Step 5: Solve for x
    x = 368,145,562,500/394,204
  6. Step 6: Final answer
    x = 933,896.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.