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Finding the Third Proportional to 394,879.50 and 577,509.75

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Solution

The third proportional to 394,879.50 and 577,509.75 is: 844,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,879.50 : 577,509.75 = 577,509.75 : x
  2. Step 2: Convert to fraction form
    394,879.50/577,509.75 = 577,509.75/x
  3. Step 3: Cross multiply
    394,879.50x = 577,509.75 × 577,509.75
  4. Step 4: Simplify right side
    394,879.50x = 333,517,511,345.06
  5. Step 5: Solve for x
    x = 333,517,511,345.06/394,879.50
  6. Step 6: Final answer
    x = 844,605.79

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.