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Finding the Third Proportional to 262,161 and 394,539

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Solution

The third proportional to 262,161 and 394,539 is: 593,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,161 : 394,539 = 394,539 : x
  2. Step 2: Convert to fraction form
    262,161/394,539 = 394,539/x
  3. Step 3: Cross multiply
    262,161x = 394,539 × 394,539
  4. Step 4: Simplify right side
    262,161x = 155,661,022,521
  5. Step 5: Solve for x
    x = 155,661,022,521/262,161
  6. Step 6: Final answer
    x = 593,761.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.