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Finding the Third Proportional to 290,517.75 and 408,390.75

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Solution

The third proportional to 290,517.75 and 408,390.75 is: 574,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,517.75 : 408,390.75 = 408,390.75 : x
  2. Step 2: Convert to fraction form
    290,517.75/408,390.75 = 408,390.75/x
  3. Step 3: Cross multiply
    290,517.75x = 408,390.75 × 408,390.75
  4. Step 4: Simplify right side
    290,517.75x = 166,783,004,685.56
  5. Step 5: Solve for x
    x = 166,783,004,685.56/290,517.75
  6. Step 6: Final answer
    x = 574,088.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.