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Finding the Third Proportional to 394,930 and 595,881

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Solution

The third proportional to 394,930 and 595,881 is: 899,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,930 : 595,881 = 595,881 : x
  2. Step 2: Convert to fraction form
    394,930/595,881 = 595,881/x
  3. Step 3: Cross multiply
    394,930x = 595,881 × 595,881
  4. Step 4: Simplify right side
    394,930x = 355,074,166,161
  5. Step 5: Solve for x
    x = 355,074,166,161/394,930
  6. Step 6: Final answer
    x = 899,081.27

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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.