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Finding the Third Proportional to 241,667 and 518,325

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Solution

The third proportional to 241,667 and 518,325 is: 1,111,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,667 : 518,325 = 518,325 : x
  2. Step 2: Convert to fraction form
    241,667/518,325 = 518,325/x
  3. Step 3: Cross multiply
    241,667x = 518,325 × 518,325
  4. Step 4: Simplify right side
    241,667x = 268,660,805,625
  5. Step 5: Solve for x
    x = 268,660,805,625/241,667
  6. Step 6: Final answer
    x = 1,111,698.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.