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Finding the Third Proportional to 263,918.25 and 622,400.63

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Solution

The third proportional to 263,918.25 and 622,400.63 is: 1,467,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,918.25 : 622,400.63 = 622,400.63 : x
  2. Step 2: Convert to fraction form
    263,918.25/622,400.63 = 622,400.63/x
  3. Step 3: Cross multiply
    263,918.25x = 622,400.63 × 622,400.63
  4. Step 4: Simplify right side
    263,918.25x = 387,382,538,000.39
  5. Step 5: Solve for x
    x = 387,382,538,000.39/263,918.25
  6. Step 6: Final answer
    x = 1,467,812.62

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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.