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Finding the Third Proportional to 226,886 and 333,777

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Solution

The third proportional to 226,886 and 333,777 is: 491,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,886 : 333,777 = 333,777 : x
  2. Step 2: Convert to fraction form
    226,886/333,777 = 333,777/x
  3. Step 3: Cross multiply
    226,886x = 333,777 × 333,777
  4. Step 4: Simplify right side
    226,886x = 111,407,085,729
  5. Step 5: Solve for x
    x = 111,407,085,729/226,886
  6. Step 6: Final answer
    x = 491,026.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.