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Finding the Third Proportional to 263,305.69 and 419,038.31

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Solution

The third proportional to 263,305.69 and 419,038.31 is: 666,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,305.69 : 419,038.31 = 419,038.31 : x
  2. Step 2: Convert to fraction form
    263,305.69/419,038.31 = 419,038.31/x
  3. Step 3: Cross multiply
    263,305.69x = 419,038.31 × 419,038.31
  4. Step 4: Simplify right side
    263,305.69x = 175,593,107,342.85
  5. Step 5: Solve for x
    x = 175,593,107,342.85/263,305.69
  6. Step 6: Final answer
    x = 666,879.28

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.