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Finding the Third Proportional to 444,471 and 706,074

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Solution

The third proportional to 444,471 and 706,074 is: 1,121,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,471 : 706,074 = 706,074 : x
  2. Step 2: Convert to fraction form
    444,471/706,074 = 706,074/x
  3. Step 3: Cross multiply
    444,471x = 706,074 × 706,074
  4. Step 4: Simplify right side
    444,471x = 498,540,493,476
  5. Step 5: Solve for x
    x = 498,540,493,476/444,471
  6. Step 6: Final answer
    x = 1,121,649.09

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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.