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Finding the Third Proportional to 412,966 and 605,801

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Solution

The third proportional to 412,966 and 605,801 is: 888,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,966 : 605,801 = 605,801 : x
  2. Step 2: Convert to fraction form
    412,966/605,801 = 605,801/x
  3. Step 3: Cross multiply
    412,966x = 605,801 × 605,801
  4. Step 4: Simplify right side
    412,966x = 366,994,851,601
  5. Step 5: Solve for x
    x = 366,994,851,601/412,966
  6. Step 6: Final answer
    x = 888,680.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.