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Finding the Third Proportional to 263,857.50 and 622,252.13

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Solution

The third proportional to 263,857.50 and 622,252.13 is: 1,467,450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,857.50 : 622,252.13 = 622,252.13 : x
  2. Step 2: Convert to fraction form
    263,857.50/622,252.13 = 622,252.13/x
  3. Step 3: Cross multiply
    263,857.50x = 622,252.13 × 622,252.13
  4. Step 4: Simplify right side
    263,857.50x = 387,197,707,067.02
  5. Step 5: Solve for x
    x = 387,197,707,067.02/263,857.50
  6. Step 6: Final answer
    x = 1,467,450.07

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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.