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Finding the Third Proportional to 283,441 and 622,171

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Solution

The third proportional to 283,441 and 622,171 is: 1,365,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,441 : 622,171 = 622,171 : x
  2. Step 2: Convert to fraction form
    283,441/622,171 = 622,171/x
  3. Step 3: Cross multiply
    283,441x = 622,171 × 622,171
  4. Step 4: Simplify right side
    283,441x = 387,096,753,241
  5. Step 5: Solve for x
    x = 387,096,753,241/283,441
  6. Step 6: Final answer
    x = 1,365,704.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.