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Finding the Third Proportional to 283,446 and 622,182

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Solution

The third proportional to 283,446 and 622,182 is: 1,365,729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,446 : 622,182 = 622,182 : x
  2. Step 2: Convert to fraction form
    283,446/622,182 = 622,182/x
  3. Step 3: Cross multiply
    283,446x = 622,182 × 622,182
  4. Step 4: Simplify right side
    283,446x = 387,110,441,124
  5. Step 5: Solve for x
    x = 387,110,441,124/283,446
  6. Step 6: Final answer
    x = 1,365,729.07

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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.