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Finding the Third Proportional to 259,702 and 388,520

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Solution

The third proportional to 259,702 and 388,520 is: 581,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,702 : 388,520 = 388,520 : x
  2. Step 2: Convert to fraction form
    259,702/388,520 = 388,520/x
  3. Step 3: Cross multiply
    259,702x = 388,520 × 388,520
  4. Step 4: Simplify right side
    259,702x = 150,947,790,400
  5. Step 5: Solve for x
    x = 150,947,790,400/259,702
  6. Step 6: Final answer
    x = 581,234.61

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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.