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Finding the Third Proportional to 226,425 and 471,226

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Solution

The third proportional to 226,425 and 471,226 is: 980,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,425 : 471,226 = 471,226 : x
  2. Step 2: Convert to fraction form
    226,425/471,226 = 471,226/x
  3. Step 3: Cross multiply
    226,425x = 471,226 × 471,226
  4. Step 4: Simplify right side
    226,425x = 222,053,943,076
  5. Step 5: Solve for x
    x = 222,053,943,076/226,425
  6. Step 6: Final answer
    x = 980,695.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.