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Finding the Third Proportional to 226,086 and 477,372

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Solution

The third proportional to 226,086 and 477,372 is: 1,007,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,086 : 477,372 = 477,372 : x
  2. Step 2: Convert to fraction form
    226,086/477,372 = 477,372/x
  3. Step 3: Cross multiply
    226,086x = 477,372 × 477,372
  4. Step 4: Simplify right side
    226,086x = 227,884,026,384
  5. Step 5: Solve for x
    x = 227,884,026,384/226,086
  6. Step 6: Final answer
    x = 1,007,952.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.