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Finding the Third Proportional to 226,684 and 494,068

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Solution

The third proportional to 226,684 and 494,068 is: 1,076,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,684 : 494,068 = 494,068 : x
  2. Step 2: Convert to fraction form
    226,684/494,068 = 494,068/x
  3. Step 3: Cross multiply
    226,684x = 494,068 × 494,068
  4. Step 4: Simplify right side
    226,684x = 244,103,188,624
  5. Step 5: Solve for x
    x = 244,103,188,624/226,684
  6. Step 6: Final answer
    x = 1,076,843.49

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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.