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Finding the Third Proportional to 394,845 and 635,872.50

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Solution

The third proportional to 394,845 and 635,872.50 is: 1,024,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,845 : 635,872.50 = 635,872.50 : x
  2. Step 2: Convert to fraction form
    394,845/635,872.50 = 635,872.50/x
  3. Step 3: Cross multiply
    394,845x = 635,872.50 × 635,872.50
  4. Step 4: Simplify right side
    394,845x = 404,333,836,256.25
  5. Step 5: Solve for x
    x = 404,333,836,256.25/394,845
  6. Step 6: Final answer
    x = 1,024,031.80

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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.