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Finding the Third Proportional to 394,850 and 635,879

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Solution

The third proportional to 394,850 and 635,879 is: 1,024,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,850 : 635,879 = 635,879 : x
  2. Step 2: Convert to fraction form
    394,850/635,879 = 635,879/x
  3. Step 3: Cross multiply
    394,850x = 635,879 × 635,879
  4. Step 4: Simplify right side
    394,850x = 404,342,102,641
  5. Step 5: Solve for x
    x = 404,342,102,641/394,850
  6. Step 6: Final answer
    x = 1,024,039.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.