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Finding the Third Proportional to 279,684 and 622,512

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Solution

The third proportional to 279,684 and 622,512 is: 1,385,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,684 : 622,512 = 622,512 : x
  2. Step 2: Convert to fraction form
    279,684/622,512 = 622,512/x
  3. Step 3: Cross multiply
    279,684x = 622,512 × 622,512
  4. Step 4: Simplify right side
    279,684x = 387,521,190,144
  5. Step 5: Solve for x
    x = 387,521,190,144/279,684
  6. Step 6: Final answer
    x = 1,385,567.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.