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Finding the Third Proportional to 226,286 and 446,856

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Solution

The third proportional to 226,286 and 446,856 is: 882,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,286 : 446,856 = 446,856 : x
  2. Step 2: Convert to fraction form
    226,286/446,856 = 446,856/x
  3. Step 3: Cross multiply
    226,286x = 446,856 × 446,856
  4. Step 4: Simplify right side
    226,286x = 199,680,284,736
  5. Step 5: Solve for x
    x = 199,680,284,736/226,286
  6. Step 6: Final answer
    x = 882,424.39

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.