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Finding the Third Proportional to 263,868 and 622,272

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Solution

The third proportional to 263,868 and 622,272 is: 1,467,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,868 : 622,272 = 622,272 : x
  2. Step 2: Convert to fraction form
    263,868/622,272 = 622,272/x
  3. Step 3: Cross multiply
    263,868x = 622,272 × 622,272
  4. Step 4: Simplify right side
    263,868x = 387,222,441,984
  5. Step 5: Solve for x
    x = 387,222,441,984/263,868
  6. Step 6: Final answer
    x = 1,467,485.42

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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.