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Finding the Third Proportional to 494,310 and 739,761

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Solution

The third proportional to 494,310 and 739,761 is: 1,107,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,310 : 739,761 = 739,761 : x
  2. Step 2: Convert to fraction form
    494,310/739,761 = 739,761/x
  3. Step 3: Cross multiply
    494,310x = 739,761 × 739,761
  4. Step 4: Simplify right side
    494,310x = 547,246,337,121
  5. Step 5: Solve for x
    x = 547,246,337,121/494,310
  6. Step 6: Final answer
    x = 1,107,091.37

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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.