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Finding the Third Proportional to 283,940 and 605,782

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Solution

The third proportional to 283,940 and 605,782 is: 1,292,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,940 : 605,782 = 605,782 : x
  2. Step 2: Convert to fraction form
    283,940/605,782 = 605,782/x
  3. Step 3: Cross multiply
    283,940x = 605,782 × 605,782
  4. Step 4: Simplify right side
    283,940x = 366,971,831,524
  5. Step 5: Solve for x
    x = 366,971,831,524/283,940
  6. Step 6: Final answer
    x = 1,292,427.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.