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Finding the Third Proportional to 513,573 and 771,912

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Solution

The third proportional to 513,573 and 771,912 is: 1,160,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,573 : 771,912 = 771,912 : x
  2. Step 2: Convert to fraction form
    513,573/771,912 = 771,912/x
  3. Step 3: Cross multiply
    513,573x = 771,912 × 771,912
  4. Step 4: Simplify right side
    513,573x = 595,848,135,744
  5. Step 5: Solve for x
    x = 595,848,135,744/513,573
  6. Step 6: Final answer
    x = 1,160,201.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.