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Finding the Third Proportional to 226,900 and 477,020

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Solution

The third proportional to 226,900 and 477,020 is: 1,002,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,900 : 477,020 = 477,020 : x
  2. Step 2: Convert to fraction form
    226,900/477,020 = 477,020/x
  3. Step 3: Cross multiply
    226,900x = 477,020 × 477,020
  4. Step 4: Simplify right side
    226,900x = 227,548,080,400
  5. Step 5: Solve for x
    x = 227,548,080,400/226,900
  6. Step 6: Final answer
    x = 1,002,856.24

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Why These Related Problems?

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