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Finding the Third Proportional to 538,093.13 and 796,751.44

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Solution

The third proportional to 538,093.13 and 796,751.44 is: 1,179,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,093.13 : 796,751.44 = 796,751.44 : x
  2. Step 2: Convert to fraction form
    538,093.13/796,751.44 = 796,751.44/x
  3. Step 3: Cross multiply
    538,093.13x = 796,751.44 × 796,751.44
  4. Step 4: Simplify right side
    538,093.13x = 634,812,853,158.32
  5. Step 5: Solve for x
    x = 634,812,853,158.32/538,093.13
  6. Step 6: Final answer
    x = 1,179,745.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.