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Finding the Third Proportional to 226,327 and 496,177

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Solution

The third proportional to 226,327 and 496,177 is: 1,087,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,327 : 496,177 = 496,177 : x
  2. Step 2: Convert to fraction form
    226,327/496,177 = 496,177/x
  3. Step 3: Cross multiply
    226,327x = 496,177 × 496,177
  4. Step 4: Simplify right side
    226,327x = 246,191,615,329
  5. Step 5: Solve for x
    x = 246,191,615,329/226,327
  6. Step 6: Final answer
    x = 1,087,769.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.