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Finding the Third Proportional to 225,862 and 446,054

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Solution

The third proportional to 225,862 and 446,054 is: 880,910.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,862 : 446,054 = 446,054 : x
  2. Step 2: Convert to fraction form
    225,862/446,054 = 446,054/x
  3. Step 3: Cross multiply
    225,862x = 446,054 × 446,054
  4. Step 4: Simplify right side
    225,862x = 198,964,170,916
  5. Step 5: Solve for x
    x = 198,964,170,916/225,862
  6. Step 6: Final answer
    x = 880,910.34

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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.