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Finding the Third Proportional to 226,738 and 494,299

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Solution

The third proportional to 226,738 and 494,299 is: 1,077,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,738 : 494,299 = 494,299 : x
  2. Step 2: Convert to fraction form
    226,738/494,299 = 494,299/x
  3. Step 3: Cross multiply
    226,738x = 494,299 × 494,299
  4. Step 4: Simplify right side
    226,738x = 244,331,501,401
  5. Step 5: Solve for x
    x = 244,331,501,401/226,738
  6. Step 6: Final answer
    x = 1,077,593.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.