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Finding the Third Proportional to 225,861 and 491,088

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Solution

The third proportional to 225,861 and 491,088 is: 1,067,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,861 : 491,088 = 491,088 : x
  2. Step 2: Convert to fraction form
    225,861/491,088 = 491,088/x
  3. Step 3: Cross multiply
    225,861x = 491,088 × 491,088
  4. Step 4: Simplify right side
    225,861x = 241,167,423,744
  5. Step 5: Solve for x
    x = 241,167,423,744/225,861
  6. Step 6: Final answer
    x = 1,067,769.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.