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Finding the Third Proportional to 385,782.75 and 846,105.75

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Solution

The third proportional to 385,782.75 and 846,105.75 is: 1,855,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,782.75 : 846,105.75 = 846,105.75 : x
  2. Step 2: Convert to fraction form
    385,782.75/846,105.75 = 846,105.75/x
  3. Step 3: Cross multiply
    385,782.75x = 846,105.75 × 846,105.75
  4. Step 4: Simplify right side
    385,782.75x = 715,894,940,183.06
  5. Step 5: Solve for x
    x = 715,894,940,183.06/385,782.75
  6. Step 6: Final answer
    x = 1,855,694.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.