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Finding the Third Proportional to 338,282 and 743,523

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Solution

The third proportional to 338,282 and 743,523 is: 1,634,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,282 : 743,523 = 743,523 : x
  2. Step 2: Convert to fraction form
    338,282/743,523 = 743,523/x
  3. Step 3: Cross multiply
    338,282x = 743,523 × 743,523
  4. Step 4: Simplify right side
    338,282x = 552,826,451,529
  5. Step 5: Solve for x
    x = 552,826,451,529/338,282
  6. Step 6: Final answer
    x = 1,634,217.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.