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Finding the Third Proportional to 538,488 and 844,802

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Solution

The third proportional to 538,488 and 844,802 is: 1,325,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,488 : 844,802 = 844,802 : x
  2. Step 2: Convert to fraction form
    538,488/844,802 = 844,802/x
  3. Step 3: Cross multiply
    538,488x = 844,802 × 844,802
  4. Step 4: Simplify right side
    538,488x = 713,690,419,204
  5. Step 5: Solve for x
    x = 713,690,419,204/538,488
  6. Step 6: Final answer
    x = 1,325,359.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.