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Finding the Third Proportional to 492,287 and 737,609.25

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Solution

The third proportional to 492,287 and 737,609.25 is: 1,105,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,287 : 737,609.25 = 737,609.25 : x
  2. Step 2: Convert to fraction form
    492,287/737,609.25 = 737,609.25/x
  3. Step 3: Cross multiply
    492,287x = 737,609.25 × 737,609.25
  4. Step 4: Simplify right side
    492,287x = 544,067,405,685.56
  5. Step 5: Solve for x
    x = 544,067,405,685.56/492,287
  6. Step 6: Final answer
    x = 1,105,183.37

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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.