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Finding the Third Proportional to 279,837 and 443,824.50

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Solution

The third proportional to 279,837 and 443,824.50 is: 703,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,837 : 443,824.50 = 443,824.50 : x
  2. Step 2: Convert to fraction form
    279,837/443,824.50 = 443,824.50/x
  3. Step 3: Cross multiply
    279,837x = 443,824.50 × 443,824.50
  4. Step 4: Simplify right side
    279,837x = 196,980,186,800.25
  5. Step 5: Solve for x
    x = 196,980,186,800.25/279,837
  6. Step 6: Final answer
    x = 703,910.44

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.