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Finding the Third Proportional to 394,920 and 595,869

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Solution

The third proportional to 394,920 and 595,869 is: 899,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,920 : 595,869 = 595,869 : x
  2. Step 2: Convert to fraction form
    394,920/595,869 = 595,869/x
  3. Step 3: Cross multiply
    394,920x = 595,869 × 595,869
  4. Step 4: Simplify right side
    394,920x = 355,059,865,161
  5. Step 5: Solve for x
    x = 355,059,865,161/394,920
  6. Step 6: Final answer
    x = 899,067.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.