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Finding the Third Proportional to 394,809 and 635,818.50

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Solution

The third proportional to 394,809 and 635,818.50 is: 1,023,951.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,809 : 635,818.50 = 635,818.50 : x
  2. Step 2: Convert to fraction form
    394,809/635,818.50 = 635,818.50/x
  3. Step 3: Cross multiply
    394,809x = 635,818.50 × 635,818.50
  4. Step 4: Simplify right side
    394,809x = 404,265,164,942.25
  5. Step 5: Solve for x
    x = 404,265,164,942.25/394,809
  6. Step 6: Final answer
    x = 1,023,951.24

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