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Finding the Third Proportional to 281,922 and 587,170

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Solution

The third proportional to 281,922 and 587,170 is: 1,222,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,922 : 587,170 = 587,170 : x
  2. Step 2: Convert to fraction form
    281,922/587,170 = 587,170/x
  3. Step 3: Cross multiply
    281,922x = 587,170 × 587,170
  4. Step 4: Simplify right side
    281,922x = 344,768,608,900
  5. Step 5: Solve for x
    x = 344,768,608,900/281,922
  6. Step 6: Final answer
    x = 1,222,921.97

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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.