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Finding the Third Proportional to 215,834 and 469,474

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Solution

The third proportional to 215,834 and 469,474 is: 1,021,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,834 : 469,474 = 469,474 : x
  2. Step 2: Convert to fraction form
    215,834/469,474 = 469,474/x
  3. Step 3: Cross multiply
    215,834x = 469,474 × 469,474
  4. Step 4: Simplify right side
    215,834x = 220,405,836,676
  5. Step 5: Solve for x
    x = 220,405,836,676/215,834
  6. Step 6: Final answer
    x = 1,021,182.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.