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Finding the Third Proportional to 448,846.31 and 673,732.69

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Solution

The third proportional to 448,846.31 and 673,732.69 is: 1,011,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,846.31 : 673,732.69 = 673,732.69 : x
  2. Step 2: Convert to fraction form
    448,846.31/673,732.69 = 673,732.69/x
  3. Step 3: Cross multiply
    448,846.31x = 673,732.69 × 673,732.69
  4. Step 4: Simplify right side
    448,846.31x = 453,915,734,205.97
  5. Step 5: Solve for x
    x = 453,915,734,205.97/448,846.31
  6. Step 6: Final answer
    x = 1,011,294.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.