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Finding the Third Proportional to 327,715.88 and 494,580.94

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Solution

The third proportional to 327,715.88 and 494,580.94 is: 746,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,715.88 : 494,580.94 = 494,580.94 : x
  2. Step 2: Convert to fraction form
    327,715.88/494,580.94 = 494,580.94/x
  3. Step 3: Cross multiply
    327,715.88x = 494,580.94 × 494,580.94
  4. Step 4: Simplify right side
    327,715.88x = 244,610,303,738.38
  5. Step 5: Solve for x
    x = 244,610,303,738.38/327,715.88
  6. Step 6: Final answer
    x = 746,409.69

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