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Finding the Third Proportional to 538,502 and 844,821

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Solution

The third proportional to 538,502 and 844,821 is: 1,325,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,502 : 844,821 = 844,821 : x
  2. Step 2: Convert to fraction form
    538,502/844,821 = 844,821/x
  3. Step 3: Cross multiply
    538,502x = 844,821 × 844,821
  4. Step 4: Simplify right side
    538,502x = 713,722,522,041
  5. Step 5: Solve for x
    x = 713,722,522,041/538,502
  6. Step 6: Final answer
    x = 1,325,385.09

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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.