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Finding the Third Proportional to 538,496 and 844,812

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Solution

The third proportional to 538,496 and 844,812 is: 1,325,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,496 : 844,812 = 844,812 : x
  2. Step 2: Convert to fraction form
    538,496/844,812 = 844,812/x
  3. Step 3: Cross multiply
    538,496x = 844,812 × 844,812
  4. Step 4: Simplify right side
    538,496x = 713,707,315,344
  5. Step 5: Solve for x
    x = 713,707,315,344/538,496
  6. Step 6: Final answer
    x = 1,325,371.62

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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.