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Finding the Third Proportional to 306,467 and 649,793

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Solution

The third proportional to 306,467 and 649,793 is: 1,377,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,467 : 649,793 = 649,793 : x
  2. Step 2: Convert to fraction form
    306,467/649,793 = 649,793/x
  3. Step 3: Cross multiply
    306,467x = 649,793 × 649,793
  4. Step 4: Simplify right side
    306,467x = 422,230,942,849
  5. Step 5: Solve for x
    x = 422,230,942,849/306,467
  6. Step 6: Final answer
    x = 1,377,737.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.