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Finding the Third Proportional to 197,077 and 446,765

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Solution

The third proportional to 197,077 and 446,765 is: 1,012,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,077 : 446,765 = 446,765 : x
  2. Step 2: Convert to fraction form
    197,077/446,765 = 446,765/x
  3. Step 3: Cross multiply
    197,077x = 446,765 × 446,765
  4. Step 4: Simplify right side
    197,077x = 199,598,965,225
  5. Step 5: Solve for x
    x = 199,598,965,225/197,077
  6. Step 6: Final answer
    x = 1,012,796.85

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.