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Finding the Third Proportional to 400,850.25 and 834,870

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Solution

The third proportional to 400,850.25 and 834,870 is: 1,738,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,850.25 : 834,870 = 834,870 : x
  2. Step 2: Convert to fraction form
    400,850.25/834,870 = 834,870/x
  3. Step 3: Cross multiply
    400,850.25x = 834,870 × 834,870
  4. Step 4: Simplify right side
    400,850.25x = 697,007,916,900
  5. Step 5: Solve for x
    x = 697,007,916,900/400,850.25
  6. Step 6: Final answer
    x = 1,738,823.71

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.