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Finding the Third Proportional to 226,744 and 494,314

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Solution

The third proportional to 226,744 and 494,314 is: 1,077,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,744 : 494,314 = 494,314 : x
  2. Step 2: Convert to fraction form
    226,744/494,314 = 494,314/x
  3. Step 3: Cross multiply
    226,744x = 494,314 × 494,314
  4. Step 4: Simplify right side
    226,744x = 244,346,330,596
  5. Step 5: Solve for x
    x = 244,346,330,596/226,744
  6. Step 6: Final answer
    x = 1,077,630.86

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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.