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Finding the Third Proportional to 327,062 and 492,213

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Solution

The third proportional to 327,062 and 492,213 is: 740,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,062 : 492,213 = 492,213 : x
  2. Step 2: Convert to fraction form
    327,062/492,213 = 492,213/x
  3. Step 3: Cross multiply
    327,062x = 492,213 × 492,213
  4. Step 4: Simplify right side
    327,062x = 242,273,637,369
  5. Step 5: Solve for x
    x = 242,273,637,369/327,062
  6. Step 6: Final answer
    x = 740,757.52

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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.