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Finding the Third Proportional to 381,879.56 and 795,136.50

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Solution

The third proportional to 381,879.56 and 795,136.50 is: 1,655,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,879.56 : 795,136.50 = 795,136.50 : x
  2. Step 2: Convert to fraction form
    381,879.56/795,136.50 = 795,136.50/x
  3. Step 3: Cross multiply
    381,879.56x = 795,136.50 × 795,136.50
  4. Step 4: Simplify right side
    381,879.56x = 632,242,053,632.25
  5. Step 5: Solve for x
    x = 632,242,053,632.25/381,879.56
  6. Step 6: Final answer
    x = 1,655,605.89

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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.