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Finding the Third Proportional to 263,858 and 622,254

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Solution

The third proportional to 263,858 and 622,254 is: 1,467,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,858 : 622,254 = 622,254 : x
  2. Step 2: Convert to fraction form
    263,858/622,254 = 622,254/x
  3. Step 3: Cross multiply
    263,858x = 622,254 × 622,254
  4. Step 4: Simplify right side
    263,858x = 387,200,040,516
  5. Step 5: Solve for x
    x = 387,200,040,516/263,858
  6. Step 6: Final answer
    x = 1,467,456.13

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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.