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Finding the Third Proportional to 281,984.20 and 587,204.86

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Solution

The third proportional to 281,984.20 and 587,204.86 is: 1,222,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,984.20 : 587,204.86 = 587,204.86 : x
  2. Step 2: Convert to fraction form
    281,984.20/587,204.86 = 587,204.86/x
  3. Step 3: Cross multiply
    281,984.20x = 587,204.86 × 587,204.86
  4. Step 4: Simplify right side
    281,984.20x = 344,809,546,873.61
  5. Step 5: Solve for x
    x = 344,809,546,873.61/281,984.20
  6. Step 6: Final answer
    x = 1,222,797.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.