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Finding the Third Proportional to 327,615 and 492,495

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Solution

The third proportional to 327,615 and 492,495 is: 740,354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,615 : 492,495 = 492,495 : x
  2. Step 2: Convert to fraction form
    327,615/492,495 = 492,495/x
  3. Step 3: Cross multiply
    327,615x = 492,495 × 492,495
  4. Step 4: Simplify right side
    327,615x = 242,551,325,025
  5. Step 5: Solve for x
    x = 242,551,325,025/327,615
  6. Step 6: Final answer
    x = 740,354.76

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