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Finding the Third Proportional to 226,559 and 529,137

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Solution

The third proportional to 226,559 and 529,137 is: 1,235,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,559 : 529,137 = 529,137 : x
  2. Step 2: Convert to fraction form
    226,559/529,137 = 529,137/x
  3. Step 3: Cross multiply
    226,559x = 529,137 × 529,137
  4. Step 4: Simplify right side
    226,559x = 279,985,964,769
  5. Step 5: Solve for x
    x = 279,985,964,769/226,559
  6. Step 6: Final answer
    x = 1,235,819.21

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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.