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Finding the Third Proportional to 238,305 and 496,212

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Solution

The third proportional to 238,305 and 496,212 is: 1,033,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,305 : 496,212 = 496,212 : x
  2. Step 2: Convert to fraction form
    238,305/496,212 = 496,212/x
  3. Step 3: Cross multiply
    238,305x = 496,212 × 496,212
  4. Step 4: Simplify right side
    238,305x = 246,226,348,944
  5. Step 5: Solve for x
    x = 246,226,348,944/238,305
  6. Step 6: Final answer
    x = 1,033,240.38

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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.