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Finding the Third Proportional to 327,450 and 723,724

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Solution

The third proportional to 327,450 and 723,724 is: 1,599,561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,450 : 723,724 = 723,724 : x
  2. Step 2: Convert to fraction form
    327,450/723,724 = 723,724/x
  3. Step 3: Cross multiply
    327,450x = 723,724 × 723,724
  4. Step 4: Simplify right side
    327,450x = 523,776,428,176
  5. Step 5: Solve for x
    x = 523,776,428,176/327,450
  6. Step 6: Final answer
    x = 1,599,561.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.