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Finding the Third Proportional to 321,331.50 and 481,025.25

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Solution

The third proportional to 321,331.50 and 481,025.25 is: 720,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,331.50 : 481,025.25 = 481,025.25 : x
  2. Step 2: Convert to fraction form
    321,331.50/481,025.25 = 481,025.25/x
  3. Step 3: Cross multiply
    321,331.50x = 481,025.25 × 481,025.25
  4. Step 4: Simplify right side
    321,331.50x = 231,385,291,137.56
  5. Step 5: Solve for x
    x = 231,385,291,137.56/321,331.50
  6. Step 6: Final answer
    x = 720,082.82

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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.