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Finding the Third Proportional to 225,852 and 445,992

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Solution

The third proportional to 225,852 and 445,992 is: 880,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,852 : 445,992 = 445,992 : x
  2. Step 2: Convert to fraction form
    225,852/445,992 = 445,992/x
  3. Step 3: Cross multiply
    225,852x = 445,992 × 445,992
  4. Step 4: Simplify right side
    225,852x = 198,908,864,064
  5. Step 5: Solve for x
    x = 198,908,864,064/225,852
  6. Step 6: Final answer
    x = 880,704.46

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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.