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Finding the Third Proportional to 289,666 and 605,812

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Solution

The third proportional to 289,666 and 605,812 is: 1,267,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,666 : 605,812 = 605,812 : x
  2. Step 2: Convert to fraction form
    289,666/605,812 = 605,812/x
  3. Step 3: Cross multiply
    289,666x = 605,812 × 605,812
  4. Step 4: Simplify right side
    289,666x = 367,008,179,344
  5. Step 5: Solve for x
    x = 367,008,179,344/289,666
  6. Step 6: Final answer
    x = 1,267,004.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.