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Finding the Third Proportional to 414,795.50 and 659,550.75

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Solution

The third proportional to 414,795.50 and 659,550.75 is: 1,048,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,795.50 : 659,550.75 = 659,550.75 : x
  2. Step 2: Convert to fraction form
    414,795.50/659,550.75 = 659,550.75/x
  3. Step 3: Cross multiply
    414,795.50x = 659,550.75 × 659,550.75
  4. Step 4: Simplify right side
    414,795.50x = 435,007,191,825.56
  5. Step 5: Solve for x
    x = 435,007,191,825.56/414,795.50
  6. Step 6: Final answer
    x = 1,048,726.88

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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.