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Finding the Third Proportional to 366,940.50 and 516,736.50

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Solution

The third proportional to 366,940.50 and 516,736.50 is: 727,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,940.50 : 516,736.50 = 516,736.50 : x
  2. Step 2: Convert to fraction form
    366,940.50/516,736.50 = 516,736.50/x
  3. Step 3: Cross multiply
    366,940.50x = 516,736.50 × 516,736.50
  4. Step 4: Simplify right side
    366,940.50x = 267,016,610,432.25
  5. Step 5: Solve for x
    x = 267,016,610,432.25/366,940.50
  6. Step 6: Final answer
    x = 727,683.67

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.