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Finding the Third Proportional to 444,466 and 706,067

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Solution

The third proportional to 444,466 and 706,067 is: 1,121,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,466 : 706,067 = 706,067 : x
  2. Step 2: Convert to fraction form
    444,466/706,067 = 706,067/x
  3. Step 3: Cross multiply
    444,466x = 706,067 × 706,067
  4. Step 4: Simplify right side
    444,466x = 498,530,608,489
  5. Step 5: Solve for x
    x = 498,530,608,489/444,466
  6. Step 6: Final answer
    x = 1,121,639.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.