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Finding the Third Proportional to 395,903.25 and 870,531.75

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Solution

The third proportional to 395,903.25 and 870,531.75 is: 1,914,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,903.25 : 870,531.75 = 870,531.75 : x
  2. Step 2: Convert to fraction form
    395,903.25/870,531.75 = 870,531.75/x
  3. Step 3: Cross multiply
    395,903.25x = 870,531.75 × 870,531.75
  4. Step 4: Simplify right side
    395,903.25x = 757,825,527,758.06
  5. Step 5: Solve for x
    x = 757,825,527,758.06/395,903.25
  6. Step 6: Final answer
    x = 1,914,168.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.