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Finding the Third Proportional to 226,114 and 491,593

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Solution

The third proportional to 226,114 and 491,593 is: 1,068,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,114 : 491,593 = 491,593 : x
  2. Step 2: Convert to fraction form
    226,114/491,593 = 491,593/x
  3. Step 3: Cross multiply
    226,114x = 491,593 × 491,593
  4. Step 4: Simplify right side
    226,114x = 241,663,677,649
  5. Step 5: Solve for x
    x = 241,663,677,649/226,114
  6. Step 6: Final answer
    x = 1,068,769.19

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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.