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Finding the Third Proportional to 727,060.50 and 1,150,735.50

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Solution

The third proportional to 727,060.50 and 1,150,735.50 is: 1,821,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,060.50 : 1,150,735.50 = 1,150,735.50 : x
  2. Step 2: Convert to fraction form
    727,060.50/1,150,735.50 = 1,150,735.50/x
  3. Step 3: Cross multiply
    727,060.50x = 1,150,735.50 × 1,150,735.50
  4. Step 4: Simplify right side
    727,060.50x = 1,324,192,190,960.25
  5. Step 5: Solve for x
    x = 1,324,192,190,960.25/727,060.50
  6. Step 6: Final answer
    x = 1,821,295.74

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.