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Finding the Third Proportional to 247,568 and 540,669

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Solution

The third proportional to 247,568 and 540,669 is: 1,180,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,568 : 540,669 = 540,669 : x
  2. Step 2: Convert to fraction form
    247,568/540,669 = 540,669/x
  3. Step 3: Cross multiply
    247,568x = 540,669 × 540,669
  4. Step 4: Simplify right side
    247,568x = 292,322,967,561
  5. Step 5: Solve for x
    x = 292,322,967,561/247,568
  6. Step 6: Final answer
    x = 1,180,778.48

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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.