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Finding the Third Proportional to 327,135 and 492,340.50

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Solution

The third proportional to 327,135 and 492,340.50 is: 740,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,135 : 492,340.50 = 492,340.50 : x
  2. Step 2: Convert to fraction form
    327,135/492,340.50 = 492,340.50/x
  3. Step 3: Cross multiply
    327,135x = 492,340.50 × 492,340.50
  4. Step 4: Simplify right side
    327,135x = 242,399,167,940.25
  5. Step 5: Solve for x
    x = 242,399,167,940.25/327,135
  6. Step 6: Final answer
    x = 740,975.95

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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.