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Finding the Third Proportional to 247,068 and 538,744

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Solution

The third proportional to 247,068 and 538,744 is: 1,174,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,068 : 538,744 = 538,744 : x
  2. Step 2: Convert to fraction form
    247,068/538,744 = 538,744/x
  3. Step 3: Cross multiply
    247,068x = 538,744 × 538,744
  4. Step 4: Simplify right side
    247,068x = 290,245,097,536
  5. Step 5: Solve for x
    x = 290,245,097,536/247,068
  6. Step 6: Final answer
    x = 1,174,757.95

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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.