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Finding the Third Proportional to 353,191.50 and 513,375.75

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Solution

The third proportional to 353,191.50 and 513,375.75 is: 746,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,191.50 : 513,375.75 = 513,375.75 : x
  2. Step 2: Convert to fraction form
    353,191.50/513,375.75 = 513,375.75/x
  3. Step 3: Cross multiply
    353,191.50x = 513,375.75 × 513,375.75
  4. Step 4: Simplify right side
    353,191.50x = 263,554,660,688.06
  5. Step 5: Solve for x
    x = 263,554,660,688.06/353,191.50
  6. Step 6: Final answer
    x = 746,208.96

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.