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Finding the Third Proportional to 444,204 and 971,256

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Solution

The third proportional to 444,204 and 971,256 is: 2,123,659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,204 : 971,256 = 971,256 : x
  2. Step 2: Convert to fraction form
    444,204/971,256 = 971,256/x
  3. Step 3: Cross multiply
    444,204x = 971,256 × 971,256
  4. Step 4: Simplify right side
    444,204x = 943,338,217,536
  5. Step 5: Solve for x
    x = 943,338,217,536/444,204
  6. Step 6: Final answer
    x = 2,123,659.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.