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Finding the Third Proportional to 327,730.50 and 494,604

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Solution

The third proportional to 327,730.50 and 494,604 is: 746,445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,730.50 : 494,604 = 494,604 : x
  2. Step 2: Convert to fraction form
    327,730.50/494,604 = 494,604/x
  3. Step 3: Cross multiply
    327,730.50x = 494,604 × 494,604
  4. Step 4: Simplify right side
    327,730.50x = 244,633,116,816
  5. Step 5: Solve for x
    x = 244,633,116,816/327,730.50
  6. Step 6: Final answer
    x = 746,445.99

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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.