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Finding the Third Proportional to 283,988 and 605,866

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Solution

The third proportional to 283,988 and 605,866 is: 1,292,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,988 : 605,866 = 605,866 : x
  2. Step 2: Convert to fraction form
    283,988/605,866 = 605,866/x
  3. Step 3: Cross multiply
    283,988x = 605,866 × 605,866
  4. Step 4: Simplify right side
    283,988x = 367,073,609,956
  5. Step 5: Solve for x
    x = 367,073,609,956/283,988
  6. Step 6: Final answer
    x = 1,292,567.33

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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.