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Finding the Third Proportional to 187,869 and 443,035

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Solution

The third proportional to 187,869 and 443,035 is: 1,044,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,869 : 443,035 = 443,035 : x
  2. Step 2: Convert to fraction form
    187,869/443,035 = 443,035/x
  3. Step 3: Cross multiply
    187,869x = 443,035 × 443,035
  4. Step 4: Simplify right side
    187,869x = 196,280,011,225
  5. Step 5: Solve for x
    x = 196,280,011,225/187,869
  6. Step 6: Final answer
    x = 1,044,770.62

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.