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Finding the Third Proportional to 404,844.75 and 870,986.25

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Solution

The third proportional to 404,844.75 and 870,986.25 is: 1,873,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,844.75 : 870,986.25 = 870,986.25 : x
  2. Step 2: Convert to fraction form
    404,844.75/870,986.25 = 870,986.25/x
  3. Step 3: Cross multiply
    404,844.75x = 870,986.25 × 870,986.25
  4. Step 4: Simplify right side
    404,844.75x = 758,617,047,689.06
  5. Step 5: Solve for x
    x = 758,617,047,689.06/404,844.75
  6. Step 6: Final answer
    x = 1,873,846.82

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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.