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Finding the Third Proportional to 263,927 and 622,422

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Solution

The third proportional to 263,927 and 622,422 is: 1,467,864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,927 : 622,422 = 622,422 : x
  2. Step 2: Convert to fraction form
    263,927/622,422 = 622,422/x
  3. Step 3: Cross multiply
    263,927x = 622,422 × 622,422
  4. Step 4: Simplify right side
    263,927x = 387,409,146,084
  5. Step 5: Solve for x
    x = 387,409,146,084/263,927
  6. Step 6: Final answer
    x = 1,467,864.77

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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.