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Finding the Third Proportional to 263,860 and 622,256

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Solution

The third proportional to 263,860 and 622,256 is: 1,467,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,860 : 622,256 = 622,256 : x
  2. Step 2: Convert to fraction form
    263,860/622,256 = 622,256/x
  3. Step 3: Cross multiply
    263,860x = 622,256 × 622,256
  4. Step 4: Simplify right side
    263,860x = 387,202,529,536
  5. Step 5: Solve for x
    x = 387,202,529,536/263,860
  6. Step 6: Final answer
    x = 1,467,454.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.