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Finding the Third Proportional to 394,918 and 595,866

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Solution

The third proportional to 394,918 and 595,866 is: 899,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,918 : 595,866 = 595,866 : x
  2. Step 2: Convert to fraction form
    394,918/595,866 = 595,866/x
  3. Step 3: Cross multiply
    394,918x = 595,866 × 595,866
  4. Step 4: Simplify right side
    394,918x = 355,056,289,956
  5. Step 5: Solve for x
    x = 355,056,289,956/394,918
  6. Step 6: Final answer
    x = 899,063.32

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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.