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Finding the Third Proportional to 283,743 and 580,608

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Solution

The third proportional to 283,743 and 580,608 is: 1,188,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,743 : 580,608 = 580,608 : x
  2. Step 2: Convert to fraction form
    283,743/580,608 = 580,608/x
  3. Step 3: Cross multiply
    283,743x = 580,608 × 580,608
  4. Step 4: Simplify right side
    283,743x = 337,105,649,664
  5. Step 5: Solve for x
    x = 337,105,649,664/283,743
  6. Step 6: Final answer
    x = 1,188,066.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.