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Finding the Third Proportional to 263,799 and 622,101

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Solution

The third proportional to 263,799 and 622,101 is: 1,467,062.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,799 : 622,101 = 622,101 : x
  2. Step 2: Convert to fraction form
    263,799/622,101 = 622,101/x
  3. Step 3: Cross multiply
    263,799x = 622,101 × 622,101
  4. Step 4: Simplify right side
    263,799x = 387,009,654,201
  5. Step 5: Solve for x
    x = 387,009,654,201/263,799
  6. Step 6: Final answer
    x = 1,467,062.63

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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.