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Finding the Third Proportional to 394,920 and 595,166

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Solution

The third proportional to 394,920 and 595,166 is: 896,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,920 : 595,166 = 595,166 : x
  2. Step 2: Convert to fraction form
    394,920/595,166 = 595,166/x
  3. Step 3: Cross multiply
    394,920x = 595,166 × 595,166
  4. Step 4: Simplify right side
    394,920x = 354,222,567,556
  5. Step 5: Solve for x
    x = 354,222,567,556/394,920
  6. Step 6: Final answer
    x = 896,947.65

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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.