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Finding the Third Proportional to 226,764 and 494,360

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Solution

The third proportional to 226,764 and 494,360 is: 1,077,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,764 : 494,360 = 494,360 : x
  2. Step 2: Convert to fraction form
    226,764/494,360 = 494,360/x
  3. Step 3: Cross multiply
    226,764x = 494,360 × 494,360
  4. Step 4: Simplify right side
    226,764x = 244,391,809,600
  5. Step 5: Solve for x
    x = 244,391,809,600/226,764
  6. Step 6: Final answer
    x = 1,077,736.37

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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.