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Finding the Third Proportional to 492,081 and 738,122

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Solution

The third proportional to 492,081 and 738,122 is: 1,107,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,081 : 738,122 = 738,122 : x
  2. Step 2: Convert to fraction form
    492,081/738,122 = 738,122/x
  3. Step 3: Cross multiply
    492,081x = 738,122 × 738,122
  4. Step 4: Simplify right side
    492,081x = 544,824,086,884
  5. Step 5: Solve for x
    x = 544,824,086,884/492,081
  6. Step 6: Final answer
    x = 1,107,183.75

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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.