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Finding the Third Proportional to 244,256 and 535,744

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Solution

The third proportional to 244,256 and 535,744 is: 1,175,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,256 : 535,744 = 535,744 : x
  2. Step 2: Convert to fraction form
    244,256/535,744 = 535,744/x
  3. Step 3: Cross multiply
    244,256x = 535,744 × 535,744
  4. Step 4: Simplify right side
    244,256x = 287,021,633,536
  5. Step 5: Solve for x
    x = 287,021,633,536/244,256
  6. Step 6: Final answer
    x = 1,175,085.29

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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.