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Finding the Third Proportional to 222,540.75 and 486,452.25

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Solution

The third proportional to 222,540.75 and 486,452.25 is: 1,063,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,540.75 : 486,452.25 = 486,452.25 : x
  2. Step 2: Convert to fraction form
    222,540.75/486,452.25 = 486,452.25/x
  3. Step 3: Cross multiply
    222,540.75x = 486,452.25 × 486,452.25
  4. Step 4: Simplify right side
    222,540.75x = 236,635,791,530.06
  5. Step 5: Solve for x
    x = 236,635,791,530.06/222,540.75
  6. Step 6: Final answer
    x = 1,063,336.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.