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Finding the Third Proportional to 257,568 and 543,104

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Solution

The third proportional to 257,568 and 543,104 is: 1,145,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,568 : 543,104 = 543,104 : x
  2. Step 2: Convert to fraction form
    257,568/543,104 = 543,104/x
  3. Step 3: Cross multiply
    257,568x = 543,104 × 543,104
  4. Step 4: Simplify right side
    257,568x = 294,961,954,816
  5. Step 5: Solve for x
    x = 294,961,954,816/257,568
  6. Step 6: Final answer
    x = 1,145,180.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.