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Finding the Third Proportional to 238,374 and 496,350

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Solution

The third proportional to 238,374 and 496,350 is: 1,033,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,374 : 496,350 = 496,350 : x
  2. Step 2: Convert to fraction form
    238,374/496,350 = 496,350/x
  3. Step 3: Cross multiply
    238,374x = 496,350 × 496,350
  4. Step 4: Simplify right side
    238,374x = 246,363,322,500
  5. Step 5: Solve for x
    x = 246,363,322,500/238,374
  6. Step 6: Final answer
    x = 1,033,515.91

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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.