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Finding the Third Proportional to 247,824 and 541,728

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Solution

The third proportional to 247,824 and 541,728 is: 1,184,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,824 : 541,728 = 541,728 : x
  2. Step 2: Convert to fraction form
    247,824/541,728 = 541,728/x
  3. Step 3: Cross multiply
    247,824x = 541,728 × 541,728
  4. Step 4: Simplify right side
    247,824x = 293,469,225,984
  5. Step 5: Solve for x
    x = 293,469,225,984/247,824
  6. Step 6: Final answer
    x = 1,184,184.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.