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Finding the Third Proportional to 263,824 and 622,168

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Solution

The third proportional to 263,824 and 622,168 is: 1,467,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,824 : 622,168 = 622,168 : x
  2. Step 2: Convert to fraction form
    263,824/622,168 = 622,168/x
  3. Step 3: Cross multiply
    263,824x = 622,168 × 622,168
  4. Step 4: Simplify right side
    263,824x = 387,093,020,224
  5. Step 5: Solve for x
    x = 387,093,020,224/263,824
  6. Step 6: Final answer
    x = 1,467,239.60

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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.