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Finding the Third Proportional to 523,099.50 and 1,108,980

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Solution

The third proportional to 523,099.50 and 1,108,980 is: 2,351,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,099.50 : 1,108,980 = 1,108,980 : x
  2. Step 2: Convert to fraction form
    523,099.50/1,108,980 = 1,108,980/x
  3. Step 3: Cross multiply
    523,099.50x = 1,108,980 × 1,108,980
  4. Step 4: Simplify right side
    523,099.50x = 1,229,836,640,400
  5. Step 5: Solve for x
    x = 1,229,836,640,400/523,099.50
  6. Step 6: Final answer
    x = 2,351,056.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.