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Finding the Third Proportional to 514,239.75 and 1,107,204.75

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Solution

The third proportional to 514,239.75 and 1,107,204.75 is: 2,383,912.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,239.75 : 1,107,204.75 = 1,107,204.75 : x
  2. Step 2: Convert to fraction form
    514,239.75/1,107,204.75 = 1,107,204.75/x
  3. Step 3: Cross multiply
    514,239.75x = 1,107,204.75 × 1,107,204.75
  4. Step 4: Simplify right side
    514,239.75x = 1,225,902,358,422.56
  5. Step 5: Solve for x
    x = 1,225,902,358,422.56/514,239.75
  6. Step 6: Final answer
    x = 2,383,912.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.