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Finding the Third Proportional to 226,244 and 446,777

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Solution

The third proportional to 226,244 and 446,777 is: 882,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,244 : 446,777 = 446,777 : x
  2. Step 2: Convert to fraction form
    226,244/446,777 = 446,777/x
  3. Step 3: Cross multiply
    226,244x = 446,777 × 446,777
  4. Step 4: Simplify right side
    226,244x = 199,609,687,729
  5. Step 5: Solve for x
    x = 199,609,687,729/226,244
  6. Step 6: Final answer
    x = 882,276.16

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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.