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Finding the Third Proportional to 283,984.50 and 605,857

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Solution

The third proportional to 283,984.50 and 605,857 is: 1,292,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,984.50 : 605,857 = 605,857 : x
  2. Step 2: Convert to fraction form
    283,984.50/605,857 = 605,857/x
  3. Step 3: Cross multiply
    283,984.50x = 605,857 × 605,857
  4. Step 4: Simplify right side
    283,984.50x = 367,062,704,449
  5. Step 5: Solve for x
    x = 367,062,704,449/283,984.50
  6. Step 6: Final answer
    x = 1,292,544.86

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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.