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Finding the Third Proportional to 352,098.75 and 733,980.75

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Solution

The third proportional to 352,098.75 and 733,980.75 is: 1,530,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,098.75 : 733,980.75 = 733,980.75 : x
  2. Step 2: Convert to fraction form
    352,098.75/733,980.75 = 733,980.75/x
  3. Step 3: Cross multiply
    352,098.75x = 733,980.75 × 733,980.75
  4. Step 4: Simplify right side
    352,098.75x = 538,727,741,370.56
  5. Step 5: Solve for x
    x = 538,727,741,370.56/352,098.75
  6. Step 6: Final answer
    x = 1,530,047.30

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.