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Finding the Third Proportional to 283,442 and 622,174

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Solution

The third proportional to 283,442 and 622,174 is: 1,365,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,442 : 622,174 = 622,174 : x
  2. Step 2: Convert to fraction form
    283,442/622,174 = 622,174/x
  3. Step 3: Cross multiply
    283,442x = 622,174 × 622,174
  4. Step 4: Simplify right side
    283,442x = 387,100,486,276
  5. Step 5: Solve for x
    x = 387,100,486,276/283,442
  6. Step 6: Final answer
    x = 1,365,713.22

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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.