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Finding the Third Proportional to 247,362 and 542,067

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Solution

The third proportional to 247,362 and 542,067 is: 1,187,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,362 : 542,067 = 542,067 : x
  2. Step 2: Convert to fraction form
    247,362/542,067 = 542,067/x
  3. Step 3: Cross multiply
    247,362x = 542,067 × 542,067
  4. Step 4: Simplify right side
    247,362x = 293,836,632,489
  5. Step 5: Solve for x
    x = 293,836,632,489/247,362
  6. Step 6: Final answer
    x = 1,187,881.05

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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.