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Finding the Third Proportional to 226,733 and 494,911

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Solution

The third proportional to 226,733 and 494,911 is: 1,080,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,733 : 494,911 = 494,911 : x
  2. Step 2: Convert to fraction form
    226,733/494,911 = 494,911/x
  3. Step 3: Cross multiply
    226,733x = 494,911 × 494,911
  4. Step 4: Simplify right side
    226,733x = 244,936,897,921
  5. Step 5: Solve for x
    x = 244,936,897,921/226,733
  6. Step 6: Final answer
    x = 1,080,287.82

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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.