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Finding the Third Proportional to 226,558 and 529,134

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Solution

The third proportional to 226,558 and 529,134 is: 1,235,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,558 : 529,134 = 529,134 : x
  2. Step 2: Convert to fraction form
    226,558/529,134 = 529,134/x
  3. Step 3: Cross multiply
    226,558x = 529,134 × 529,134
  4. Step 4: Simplify right side
    226,558x = 279,982,789,956
  5. Step 5: Solve for x
    x = 279,982,789,956/226,558
  6. Step 6: Final answer
    x = 1,235,810.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.