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Finding the Third Proportional to 381,611 and 593,429

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Solution

The third proportional to 381,611 and 593,429 is: 922,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,611 : 593,429 = 593,429 : x
  2. Step 2: Convert to fraction form
    381,611/593,429 = 593,429/x
  3. Step 3: Cross multiply
    381,611x = 593,429 × 593,429
  4. Step 4: Simplify right side
    381,611x = 352,157,978,041
  5. Step 5: Solve for x
    x = 352,157,978,041/381,611
  6. Step 6: Final answer
    x = 922,819.25

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.