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Finding the Third Proportional to 226,578 and 529,182

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Solution

The third proportional to 226,578 and 529,182 is: 1,235,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,578 : 529,182 = 529,182 : x
  2. Step 2: Convert to fraction form
    226,578/529,182 = 529,182/x
  3. Step 3: Cross multiply
    226,578x = 529,182 × 529,182
  4. Step 4: Simplify right side
    226,578x = 280,033,589,124
  5. Step 5: Solve for x
    x = 280,033,589,124/226,578
  6. Step 6: Final answer
    x = 1,235,925.77

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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.