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Finding the Third Proportional to 404,977 and 870,052.75

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Solution

The third proportional to 404,977 and 870,052.75 is: 1,869,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,977 : 870,052.75 = 870,052.75 : x
  2. Step 2: Convert to fraction form
    404,977/870,052.75 = 870,052.75/x
  3. Step 3: Cross multiply
    404,977x = 870,052.75 × 870,052.75
  4. Step 4: Simplify right side
    404,977x = 756,991,787,782.56
  5. Step 5: Solve for x
    x = 756,991,787,782.56/404,977
  6. Step 6: Final answer
    x = 1,869,221.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.