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Finding the Third Proportional to 263,504 and 394,538

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Solution

The third proportional to 263,504 and 394,538 is: 590,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,504 : 394,538 = 394,538 : x
  2. Step 2: Convert to fraction form
    263,504/394,538 = 394,538/x
  3. Step 3: Cross multiply
    263,504x = 394,538 × 394,538
  4. Step 4: Simplify right side
    263,504x = 155,660,233,444
  5. Step 5: Solve for x
    x = 155,660,233,444/263,504
  6. Step 6: Final answer
    x = 590,731.96

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Why These Related Problems?

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