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Finding the Third Proportional to 247,108 and 538,568

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Solution

The third proportional to 247,108 and 538,568 is: 1,173,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,108 : 538,568 = 538,568 : x
  2. Step 2: Convert to fraction form
    247,108/538,568 = 538,568/x
  3. Step 3: Cross multiply
    247,108x = 538,568 × 538,568
  4. Step 4: Simplify right side
    247,108x = 290,055,490,624
  5. Step 5: Solve for x
    x = 290,055,490,624/247,108
  6. Step 6: Final answer
    x = 1,173,800.49

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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.