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Finding the Third Proportional to 327,651 and 492,558

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Solution

The third proportional to 327,651 and 492,558 is: 740,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,651 : 492,558 = 492,558 : x
  2. Step 2: Convert to fraction form
    327,651/492,558 = 492,558/x
  3. Step 3: Cross multiply
    327,651x = 492,558 × 492,558
  4. Step 4: Simplify right side
    327,651x = 242,613,383,364
  5. Step 5: Solve for x
    x = 242,613,383,364/327,651
  6. Step 6: Final answer
    x = 740,462.82

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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.