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Finding the Third Proportional to 238,396 and 496,388

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Solution

The third proportional to 238,396 and 496,388 is: 1,033,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,396 : 496,388 = 496,388 : x
  2. Step 2: Convert to fraction form
    238,396/496,388 = 496,388/x
  3. Step 3: Cross multiply
    238,396x = 496,388 × 496,388
  4. Step 4: Simplify right side
    238,396x = 246,401,046,544
  5. Step 5: Solve for x
    x = 246,401,046,544/238,396
  6. Step 6: Final answer
    x = 1,033,578.78

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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.