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Finding the Third Proportional to 248,515 and 541,021

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Solution

The third proportional to 248,515 and 541,021 is: 1,177,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,515 : 541,021 = 541,021 : x
  2. Step 2: Convert to fraction form
    248,515/541,021 = 541,021/x
  3. Step 3: Cross multiply
    248,515x = 541,021 × 541,021
  4. Step 4: Simplify right side
    248,515x = 292,703,722,441
  5. Step 5: Solve for x
    x = 292,703,722,441/248,515
  6. Step 6: Final answer
    x = 1,177,811.09

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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.