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Finding the Third Proportional to 248,320 and 541,744

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Solution

The third proportional to 248,320 and 541,744 is: 1,181,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,320 : 541,744 = 541,744 : x
  2. Step 2: Convert to fraction form
    248,320/541,744 = 541,744/x
  3. Step 3: Cross multiply
    248,320x = 541,744 × 541,744
  4. Step 4: Simplify right side
    248,320x = 293,486,561,536
  5. Step 5: Solve for x
    x = 293,486,561,536/248,320
  6. Step 6: Final answer
    x = 1,181,888.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.