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Finding the Third Proportional to 238,456 and 496,496

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Solution

The third proportional to 238,456 and 496,496 is: 1,033,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,456 : 496,496 = 496,496 : x
  2. Step 2: Convert to fraction form
    238,456/496,496 = 496,496/x
  3. Step 3: Cross multiply
    238,456x = 496,496 × 496,496
  4. Step 4: Simplify right side
    238,456x = 246,508,278,016
  5. Step 5: Solve for x
    x = 246,508,278,016/238,456
  6. Step 6: Final answer
    x = 1,033,768.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.