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Finding the Third Proportional to 197,086 and 446,788

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Solution

The third proportional to 197,086 and 446,788 is: 1,012,854.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,086 : 446,788 = 446,788 : x
  2. Step 2: Convert to fraction form
    197,086/446,788 = 446,788/x
  3. Step 3: Cross multiply
    197,086x = 446,788 × 446,788
  4. Step 4: Simplify right side
    197,086x = 199,619,516,944
  5. Step 5: Solve for x
    x = 199,619,516,944/197,086
  6. Step 6: Final answer
    x = 1,012,854.88

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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.