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Finding the Third Proportional to 226,734 and 494,293

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Solution

The third proportional to 226,734 and 494,293 is: 1,077,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,734 : 494,293 = 494,293 : x
  2. Step 2: Convert to fraction form
    226,734/494,293 = 494,293/x
  3. Step 3: Cross multiply
    226,734x = 494,293 × 494,293
  4. Step 4: Simplify right side
    226,734x = 244,325,569,849
  5. Step 5: Solve for x
    x = 244,325,569,849/226,734
  6. Step 6: Final answer
    x = 1,077,586.82

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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.