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Finding the Third Proportional to 327,801.75 and 494,715

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Solution

The third proportional to 327,801.75 and 494,715 is: 746,618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,801.75 : 494,715 = 494,715 : x
  2. Step 2: Convert to fraction form
    327,801.75/494,715 = 494,715/x
  3. Step 3: Cross multiply
    327,801.75x = 494,715 × 494,715
  4. Step 4: Simplify right side
    327,801.75x = 244,742,931,225
  5. Step 5: Solve for x
    x = 244,742,931,225/327,801.75
  6. Step 6: Final answer
    x = 746,618.75

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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.