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Finding the Third Proportional to 327,419 and 492,347

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Solution

The third proportional to 327,419 and 492,347 is: 740,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,419 : 492,347 = 492,347 : x
  2. Step 2: Convert to fraction form
    327,419/492,347 = 492,347/x
  3. Step 3: Cross multiply
    327,419x = 492,347 × 492,347
  4. Step 4: Simplify right side
    327,419x = 242,405,568,409
  5. Step 5: Solve for x
    x = 242,405,568,409/327,419
  6. Step 6: Final answer
    x = 740,352.78

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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.