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Finding the Third Proportional to 327,396.94 and 492,310.41

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Solution

The third proportional to 327,396.94 and 492,310.41 is: 740,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,396.94 : 492,310.41 = 492,310.41 : x
  2. Step 2: Convert to fraction form
    327,396.94/492,310.41 = 492,310.41/x
  3. Step 3: Cross multiply
    327,396.94x = 492,310.41 × 492,310.41
  4. Step 4: Simplify right side
    327,396.94x = 242,369,536,102.04
  5. Step 5: Solve for x
    x = 242,369,536,102.04/327,396.94
  6. Step 6: Final answer
    x = 740,292.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.