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Finding the Third Proportional to 226,750 and 494,326

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Solution

The third proportional to 226,750 and 494,326 is: 1,077,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,750 : 494,326 = 494,326 : x
  2. Step 2: Convert to fraction form
    226,750/494,326 = 494,326/x
  3. Step 3: Cross multiply
    226,750x = 494,326 × 494,326
  4. Step 4: Simplify right side
    226,750x = 244,358,194,276
  5. Step 5: Solve for x
    x = 244,358,194,276/226,750
  6. Step 6: Final answer
    x = 1,077,654.66

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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.