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Finding the Third Proportional to 331,092 and 437,162

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Solution

The third proportional to 331,092 and 437,162 is: 577,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,092 : 437,162 = 437,162 : x
  2. Step 2: Convert to fraction form
    331,092/437,162 = 437,162/x
  3. Step 3: Cross multiply
    331,092x = 437,162 × 437,162
  4. Step 4: Simplify right side
    331,092x = 191,110,614,244
  5. Step 5: Solve for x
    x = 191,110,614,244/331,092
  6. Step 6: Final answer
    x = 577,213.02

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.