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Finding the Third Proportional to 226,269 and 446,827

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Solution

The third proportional to 226,269 and 446,827 is: 882,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,269 : 446,827 = 446,827 : x
  2. Step 2: Convert to fraction form
    226,269/446,827 = 446,827/x
  3. Step 3: Cross multiply
    226,269x = 446,827 × 446,827
  4. Step 4: Simplify right side
    226,269x = 199,654,367,929
  5. Step 5: Solve for x
    x = 199,654,367,929/226,269
  6. Step 6: Final answer
    x = 882,376.14

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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.