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Finding the Third Proportional to 303,099.75 and 441,321.75

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Solution

The third proportional to 303,099.75 and 441,321.75 is: 642,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,099.75 : 441,321.75 = 441,321.75 : x
  2. Step 2: Convert to fraction form
    303,099.75/441,321.75 = 441,321.75/x
  3. Step 3: Cross multiply
    303,099.75x = 441,321.75 × 441,321.75
  4. Step 4: Simplify right side
    303,099.75x = 194,764,887,023.06
  5. Step 5: Solve for x
    x = 194,764,887,023.06/303,099.75
  6. Step 6: Final answer
    x = 642,576.86

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Why These Related Problems?

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