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Finding the Third Proportional to 226,326 and 494,691

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Solution

The third proportional to 226,326 and 494,691 is: 1,081,268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,326 : 494,691 = 494,691 : x
  2. Step 2: Convert to fraction form
    226,326/494,691 = 494,691/x
  3. Step 3: Cross multiply
    226,326x = 494,691 × 494,691
  4. Step 4: Simplify right side
    226,326x = 244,719,185,481
  5. Step 5: Solve for x
    x = 244,719,185,481/226,326
  6. Step 6: Final answer
    x = 1,081,268.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.