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Finding the Third Proportional to 283,981 and 605,851

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Solution

The third proportional to 283,981 and 605,851 is: 1,292,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,981 : 605,851 = 605,851 : x
  2. Step 2: Convert to fraction form
    283,981/605,851 = 605,851/x
  3. Step 3: Cross multiply
    283,981x = 605,851 × 605,851
  4. Step 4: Simplify right side
    283,981x = 367,055,434,201
  5. Step 5: Solve for x
    x = 367,055,434,201/283,981
  6. Step 6: Final answer
    x = 1,292,535.18

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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.