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Finding the Third Proportional to 238,390 and 496,381

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Solution

The third proportional to 238,390 and 496,381 is: 1,033,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,390 : 496,381 = 496,381 : x
  2. Step 2: Convert to fraction form
    238,390/496,381 = 496,381/x
  3. Step 3: Cross multiply
    238,390x = 496,381 × 496,381
  4. Step 4: Simplify right side
    238,390x = 246,394,097,161
  5. Step 5: Solve for x
    x = 246,394,097,161/238,390
  6. Step 6: Final answer
    x = 1,033,575.64

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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.