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Finding the Third Proportional to 225,974 and 491,269

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Solution

The third proportional to 225,974 and 491,269 is: 1,068,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,974 : 491,269 = 491,269 : x
  2. Step 2: Convert to fraction form
    225,974/491,269 = 491,269/x
  3. Step 3: Cross multiply
    225,974x = 491,269 × 491,269
  4. Step 4: Simplify right side
    225,974x = 241,345,230,361
  5. Step 5: Solve for x
    x = 241,345,230,361/225,974
  6. Step 6: Final answer
    x = 1,068,022.12

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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.