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Finding the Third Proportional to 187,824 and 412,512

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Solution

The third proportional to 187,824 and 412,512 is: 905,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,824 : 412,512 = 412,512 : x
  2. Step 2: Convert to fraction form
    187,824/412,512 = 412,512/x
  3. Step 3: Cross multiply
    187,824x = 412,512 × 412,512
  4. Step 4: Simplify right side
    187,824x = 170,166,150,144
  5. Step 5: Solve for x
    x = 170,166,150,144/187,824
  6. Step 6: Final answer
    x = 905,987.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.