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Finding the Third Proportional to 263,852.44 and 622,239.47

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Solution

The third proportional to 263,852.44 and 622,239.47 is: 1,467,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,852.44 : 622,239.47 = 622,239.47 : x
  2. Step 2: Convert to fraction form
    263,852.44/622,239.47 = 622,239.47/x
  3. Step 3: Cross multiply
    263,852.44x = 622,239.47 × 622,239.47
  4. Step 4: Simplify right side
    263,852.44x = 387,181,956,470.28
  5. Step 5: Solve for x
    x = 387,181,956,470.28/263,852.44
  6. Step 6: Final answer
    x = 1,467,418.53

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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.