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Finding the Third Proportional to 225,891 and 470,496

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Solution

The third proportional to 225,891 and 470,496 is: 979,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,891 : 470,496 = 470,496 : x
  2. Step 2: Convert to fraction form
    225,891/470,496 = 470,496/x
  3. Step 3: Cross multiply
    225,891x = 470,496 × 470,496
  4. Step 4: Simplify right side
    225,891x = 221,366,486,016
  5. Step 5: Solve for x
    x = 221,366,486,016/225,891
  6. Step 6: Final answer
    x = 979,970.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.