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Finding the Third Proportional to 400,850.44 and 834,870.38

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Solution

The third proportional to 400,850.44 and 834,870.38 is: 1,738,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,850.44 : 834,870.38 = 834,870.38 : x
  2. Step 2: Convert to fraction form
    400,850.44/834,870.38 = 834,870.38/x
  3. Step 3: Cross multiply
    400,850.44x = 834,870.38 × 834,870.38
  4. Step 4: Simplify right side
    400,850.44x = 697,008,543,052.64
  5. Step 5: Solve for x
    x = 697,008,543,052.64/400,850.44
  6. Step 6: Final answer
    x = 1,738,824.45

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Why These Related Problems?

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