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Finding the Third Proportional to 327,634 and 494,457

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Solution

The third proportional to 327,634 and 494,457 is: 746,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,634 : 494,457 = 494,457 : x
  2. Step 2: Convert to fraction form
    327,634/494,457 = 494,457/x
  3. Step 3: Cross multiply
    327,634x = 494,457 × 494,457
  4. Step 4: Simplify right side
    327,634x = 244,487,724,849
  5. Step 5: Solve for x
    x = 244,487,724,849/327,634
  6. Step 6: Final answer
    x = 746,222.08

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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.