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Finding the Third Proportional to 231,424 and 469,296

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Solution

The third proportional to 231,424 and 469,296 is: 951,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,424 : 469,296 = 469,296 : x
  2. Step 2: Convert to fraction form
    231,424/469,296 = 469,296/x
  3. Step 3: Cross multiply
    231,424x = 469,296 × 469,296
  4. Step 4: Simplify right side
    231,424x = 220,238,735,616
  5. Step 5: Solve for x
    x = 220,238,735,616/231,424
  6. Step 6: Final answer
    x = 951,667.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.