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Finding the Third Proportional to 303,689.25 and 664,576.31

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Solution

The third proportional to 303,689.25 and 664,576.31 is: 1,454,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,689.25 : 664,576.31 = 664,576.31 : x
  2. Step 2: Convert to fraction form
    303,689.25/664,576.31 = 664,576.31/x
  3. Step 3: Cross multiply
    303,689.25x = 664,576.31 × 664,576.31
  4. Step 4: Simplify right side
    303,689.25x = 441,661,675,136.10
  5. Step 5: Solve for x
    x = 441,661,675,136.10/303,689.25
  6. Step 6: Final answer
    x = 1,454,321.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.