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Finding the Third Proportional to 513,105.75 and 804,906.75

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Solution

The third proportional to 513,105.75 and 804,906.75 is: 1,262,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,105.75 : 804,906.75 = 804,906.75 : x
  2. Step 2: Convert to fraction form
    513,105.75/804,906.75 = 804,906.75/x
  3. Step 3: Cross multiply
    513,105.75x = 804,906.75 × 804,906.75
  4. Step 4: Simplify right side
    513,105.75x = 647,874,876,195.56
  5. Step 5: Solve for x
    x = 647,874,876,195.56/513,105.75
  6. Step 6: Final answer
    x = 1,262,653.70

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.