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Finding the Third Proportional to 258,441 and 548,193

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Solution

The third proportional to 258,441 and 548,193 is: 1,162,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,441 : 548,193 = 548,193 : x
  2. Step 2: Convert to fraction form
    258,441/548,193 = 548,193/x
  3. Step 3: Cross multiply
    258,441x = 548,193 × 548,193
  4. Step 4: Simplify right side
    258,441x = 300,515,565,249
  5. Step 5: Solve for x
    x = 300,515,565,249/258,441
  6. Step 6: Final answer
    x = 1,162,801.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.