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Finding the Third Proportional to 247,039 and 539,257

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Solution

The third proportional to 247,039 and 539,257 is: 1,177,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,039 : 539,257 = 539,257 : x
  2. Step 2: Convert to fraction form
    247,039/539,257 = 539,257/x
  3. Step 3: Cross multiply
    247,039x = 539,257 × 539,257
  4. Step 4: Simplify right side
    247,039x = 290,798,112,049
  5. Step 5: Solve for x
    x = 290,798,112,049/247,039
  6. Step 6: Final answer
    x = 1,177,134.43

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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.