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Finding the Third Proportional to 538,494 and 844,809

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Solution

The third proportional to 538,494 and 844,809 is: 1,325,367.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,494 : 844,809 = 844,809 : x
  2. Step 2: Convert to fraction form
    538,494/844,809 = 844,809/x
  3. Step 3: Cross multiply
    538,494x = 844,809 × 844,809
  4. Step 4: Simplify right side
    538,494x = 713,702,246,481
  5. Step 5: Solve for x
    x = 713,702,246,481/538,494
  6. Step 6: Final answer
    x = 1,325,367.13

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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.