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Finding the Third Proportional to 232,992 and 496,512

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Solution

The third proportional to 232,992 and 496,512 is: 1,058,079.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,992 : 496,512 = 496,512 : x
  2. Step 2: Convert to fraction form
    232,992/496,512 = 496,512/x
  3. Step 3: Cross multiply
    232,992x = 496,512 × 496,512
  4. Step 4: Simplify right side
    232,992x = 246,524,166,144
  5. Step 5: Solve for x
    x = 246,524,166,144/232,992
  6. Step 6: Final answer
    x = 1,058,079.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.