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Finding the Third Proportional to 226,687 and 494,074

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Solution

The third proportional to 226,687 and 494,074 is: 1,076,855.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,687 : 494,074 = 494,074 : x
  2. Step 2: Convert to fraction form
    226,687/494,074 = 494,074/x
  3. Step 3: Cross multiply
    226,687x = 494,074 × 494,074
  4. Step 4: Simplify right side
    226,687x = 244,109,117,476
  5. Step 5: Solve for x
    x = 244,109,117,476/226,687
  6. Step 6: Final answer
    x = 1,076,855.39

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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.