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Finding the Third Proportional to 444,631.78 and 665,731.41

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Solution

The third proportional to 444,631.78 and 665,731.41 is: 996,776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,631.78 : 665,731.41 = 665,731.41 : x
  2. Step 2: Convert to fraction form
    444,631.78/665,731.41 = 665,731.41/x
  3. Step 3: Cross multiply
    444,631.78x = 665,731.41 × 665,731.41
  4. Step 4: Simplify right side
    444,631.78x = 443,198,305,267.60
  5. Step 5: Solve for x
    x = 443,198,305,267.60/444,631.78
  6. Step 6: Final answer
    x = 996,776.04

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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.