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Finding the Third Proportional to 412,053.75 and 855,690.75

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Solution

The third proportional to 412,053.75 and 855,690.75 is: 1,776,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,053.75 : 855,690.75 = 855,690.75 : x
  2. Step 2: Convert to fraction form
    412,053.75/855,690.75 = 855,690.75/x
  3. Step 3: Cross multiply
    412,053.75x = 855,690.75 × 855,690.75
  4. Step 4: Simplify right side
    412,053.75x = 732,206,659,635.56
  5. Step 5: Solve for x
    x = 732,206,659,635.56/412,053.75
  6. Step 6: Final answer
    x = 1,776,968.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.