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Finding the Third Proportional to 327,313.50 and 444,242.25

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Solution

The third proportional to 327,313.50 and 444,242.25 is: 602,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,313.50 : 444,242.25 = 444,242.25 : x
  2. Step 2: Convert to fraction form
    327,313.50/444,242.25 = 444,242.25/x
  3. Step 3: Cross multiply
    327,313.50x = 444,242.25 × 444,242.25
  4. Step 4: Simplify right side
    327,313.50x = 197,351,176,685.06
  5. Step 5: Solve for x
    x = 197,351,176,685.06/327,313.50
  6. Step 6: Final answer
    x = 602,942.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.