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Finding the Third Proportional to 384,211 and 617,322

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Solution

The third proportional to 384,211 and 617,322 is: 991,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,211 : 617,322 = 617,322 : x
  2. Step 2: Convert to fraction form
    384,211/617,322 = 617,322/x
  3. Step 3: Cross multiply
    384,211x = 617,322 × 617,322
  4. Step 4: Simplify right side
    384,211x = 381,086,451,684
  5. Step 5: Solve for x
    x = 381,086,451,684/384,211
  6. Step 6: Final answer
    x = 991,867.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.