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Finding the Third Proportional to 254,256 and 548,496

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Solution

The third proportional to 254,256 and 548,496 is: 1,183,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,256 : 548,496 = 548,496 : x
  2. Step 2: Convert to fraction form
    254,256/548,496 = 548,496/x
  3. Step 3: Cross multiply
    254,256x = 548,496 × 548,496
  4. Step 4: Simplify right side
    254,256x = 300,847,862,016
  5. Step 5: Solve for x
    x = 300,847,862,016/254,256
  6. Step 6: Final answer
    x = 1,183,247.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.