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Finding the Third Proportional to 226,904 and 477,028

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Solution

The third proportional to 226,904 and 477,028 is: 1,002,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,904 : 477,028 = 477,028 : x
  2. Step 2: Convert to fraction form
    226,904/477,028 = 477,028/x
  3. Step 3: Cross multiply
    226,904x = 477,028 × 477,028
  4. Step 4: Simplify right side
    226,904x = 227,555,712,784
  5. Step 5: Solve for x
    x = 227,555,712,784/226,904
  6. Step 6: Final answer
    x = 1,002,872.20

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.