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Finding the Third Proportional to 311,682 and 467,523

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Solution

The third proportional to 311,682 and 467,523 is: 701,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,682 : 467,523 = 467,523 : x
  2. Step 2: Convert to fraction form
    311,682/467,523 = 467,523/x
  3. Step 3: Cross multiply
    311,682x = 467,523 × 467,523
  4. Step 4: Simplify right side
    311,682x = 218,577,755,529
  5. Step 5: Solve for x
    x = 218,577,755,529/311,682
  6. Step 6: Final answer
    x = 701,284.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.