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Finding the Third Proportional to 289,660 and 605,801

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Solution

The third proportional to 289,660 and 605,801 is: 1,266,984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,660 : 605,801 = 605,801 : x
  2. Step 2: Convert to fraction form
    289,660/605,801 = 605,801/x
  3. Step 3: Cross multiply
    289,660x = 605,801 × 605,801
  4. Step 4: Simplify right side
    289,660x = 366,994,851,601
  5. Step 5: Solve for x
    x = 366,994,851,601/289,660
  6. Step 6: Final answer
    x = 1,266,984.92

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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.