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Finding the Third Proportional to 538,485 and 844,799

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Solution

The third proportional to 538,485 and 844,799 is: 1,325,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,485 : 844,799 = 844,799 : x
  2. Step 2: Convert to fraction form
    538,485/844,799 = 844,799/x
  3. Step 3: Cross multiply
    538,485x = 844,799 × 844,799
  4. Step 4: Simplify right side
    538,485x = 713,685,350,401
  5. Step 5: Solve for x
    x = 713,685,350,401/538,485
  6. Step 6: Final answer
    x = 1,325,357.90

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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.