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Finding the Third Proportional to 238,414 and 496,225

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Solution

The third proportional to 238,414 and 496,225 is: 1,032,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,414 : 496,225 = 496,225 : x
  2. Step 2: Convert to fraction form
    238,414/496,225 = 496,225/x
  3. Step 3: Cross multiply
    238,414x = 496,225 × 496,225
  4. Step 4: Simplify right side
    238,414x = 246,239,250,625
  5. Step 5: Solve for x
    x = 246,239,250,625/238,414
  6. Step 6: Final answer
    x = 1,032,822.11

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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.