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Finding the Third Proportional to 283,427 and 622,144

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Solution

The third proportional to 283,427 and 622,144 is: 1,365,653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,427 : 622,144 = 622,144 : x
  2. Step 2: Convert to fraction form
    283,427/622,144 = 622,144/x
  3. Step 3: Cross multiply
    283,427x = 622,144 × 622,144
  4. Step 4: Simplify right side
    283,427x = 387,063,156,736
  5. Step 5: Solve for x
    x = 387,063,156,736/283,427
  6. Step 6: Final answer
    x = 1,365,653.79

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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.