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Finding the Third Proportional to 494,308 and 739,760

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Solution

The third proportional to 494,308 and 739,760 is: 1,107,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,308 : 739,760 = 739,760 : x
  2. Step 2: Convert to fraction form
    494,308/739,760 = 739,760/x
  3. Step 3: Cross multiply
    494,308x = 739,760 × 739,760
  4. Step 4: Simplify right side
    494,308x = 547,244,857,600
  5. Step 5: Solve for x
    x = 547,244,857,600/494,308
  6. Step 6: Final answer
    x = 1,107,092.86

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