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Finding the Third Proportional to 538,504 and 844,824

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Solution

The third proportional to 538,504 and 844,824 is: 1,325,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,504 : 844,824 = 844,824 : x
  2. Step 2: Convert to fraction form
    538,504/844,824 = 844,824/x
  3. Step 3: Cross multiply
    538,504x = 844,824 × 844,824
  4. Step 4: Simplify right side
    538,504x = 713,727,590,976
  5. Step 5: Solve for x
    x = 713,727,590,976/538,504
  6. Step 6: Final answer
    x = 1,325,389.58

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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.