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Finding the Third Proportional to 254,016 and 550,800

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Solution

The third proportional to 254,016 and 550,800 is: 1,194,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,016 : 550,800 = 550,800 : x
  2. Step 2: Convert to fraction form
    254,016/550,800 = 550,800/x
  3. Step 3: Cross multiply
    254,016x = 550,800 × 550,800
  4. Step 4: Simplify right side
    254,016x = 303,380,640,000
  5. Step 5: Solve for x
    x = 303,380,640,000/254,016
  6. Step 6: Final answer
    x = 1,194,336.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.