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Finding the Third Proportional to 538,098.75 and 796,758.75

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Solution

The third proportional to 538,098.75 and 796,758.75 is: 1,179,754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,098.75 : 796,758.75 = 796,758.75 : x
  2. Step 2: Convert to fraction form
    538,098.75/796,758.75 = 796,758.75/x
  3. Step 3: Cross multiply
    538,098.75x = 796,758.75 × 796,758.75
  4. Step 4: Simplify right side
    538,098.75x = 634,824,505,701.56
  5. Step 5: Solve for x
    x = 634,824,505,701.56/538,098.75
  6. Step 6: Final answer
    x = 1,179,754.66

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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.