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Finding the Third Proportional to 327,824 and 494,043

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Solution

The third proportional to 327,824 and 494,043 is: 744,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,824 : 494,043 = 494,043 : x
  2. Step 2: Convert to fraction form
    327,824/494,043 = 494,043/x
  3. Step 3: Cross multiply
    327,824x = 494,043 × 494,043
  4. Step 4: Simplify right side
    327,824x = 244,078,485,849
  5. Step 5: Solve for x
    x = 244,078,485,849/327,824
  6. Step 6: Final answer
    x = 744,541.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.