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Finding the Third Proportional to 218,517.75 and 487,883.25

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Solution

The third proportional to 218,517.75 and 487,883.25 is: 1,089,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,517.75 : 487,883.25 = 487,883.25 : x
  2. Step 2: Convert to fraction form
    218,517.75/487,883.25 = 487,883.25/x
  3. Step 3: Cross multiply
    218,517.75x = 487,883.25 × 487,883.25
  4. Step 4: Simplify right side
    218,517.75x = 238,030,065,630.56
  5. Step 5: Solve for x
    x = 238,030,065,630.56/218,517.75
  6. Step 6: Final answer
    x = 1,089,293.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.