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Finding the Third Proportional to 343,378.50 and 743,958.75

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Solution

The third proportional to 343,378.50 and 743,958.75 is: 1,611,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,378.50 : 743,958.75 = 743,958.75 : x
  2. Step 2: Convert to fraction form
    343,378.50/743,958.75 = 743,958.75/x
  3. Step 3: Cross multiply
    343,378.50x = 743,958.75 × 743,958.75
  4. Step 4: Simplify right side
    343,378.50x = 553,474,621,701.56
  5. Step 5: Solve for x
    x = 553,474,621,701.56/343,378.50
  6. Step 6: Final answer
    x = 1,611,849.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.