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Finding the Third Proportional to 311,551.31 and 733,510.69

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Solution

The third proportional to 311,551.31 and 733,510.69 is: 1,726,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,551.31 : 733,510.69 = 733,510.69 : x
  2. Step 2: Convert to fraction form
    311,551.31/733,510.69 = 733,510.69/x
  3. Step 3: Cross multiply
    311,551.31x = 733,510.69 × 733,510.69
  4. Step 4: Simplify right side
    311,551.31x = 538,037,928,676.72
  5. Step 5: Solve for x
    x = 538,037,928,676.72/311,551.31
  6. Step 6: Final answer
    x = 1,726,964.09

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.