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Finding the Third Proportional to 227,620 and 327,892

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Solution

The third proportional to 227,620 and 327,892 is: 472,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,620 : 327,892 = 327,892 : x
  2. Step 2: Convert to fraction form
    227,620/327,892 = 327,892/x
  3. Step 3: Cross multiply
    227,620x = 327,892 × 327,892
  4. Step 4: Simplify right side
    227,620x = 107,513,163,664
  5. Step 5: Solve for x
    x = 107,513,163,664/227,620
  6. Step 6: Final answer
    x = 472,336.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.