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Finding the Third Proportional to 254,869 and 548,794

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Solution

The third proportional to 254,869 and 548,794 is: 1,181,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,869 : 548,794 = 548,794 : x
  2. Step 2: Convert to fraction form
    254,869/548,794 = 548,794/x
  3. Step 3: Cross multiply
    254,869x = 548,794 × 548,794
  4. Step 4: Simplify right side
    254,869x = 301,174,854,436
  5. Step 5: Solve for x
    x = 301,174,854,436/254,869
  6. Step 6: Final answer
    x = 1,181,684.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.