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Finding the Third Proportional to 400,857 and 834,883.50

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Solution

The third proportional to 400,857 and 834,883.50 is: 1,738,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,857 : 834,883.50 = 834,883.50 : x
  2. Step 2: Convert to fraction form
    400,857/834,883.50 = 834,883.50/x
  3. Step 3: Cross multiply
    400,857x = 834,883.50 × 834,883.50
  4. Step 4: Simplify right side
    400,857x = 697,030,458,572.25
  5. Step 5: Solve for x
    x = 697,030,458,572.25/400,857
  6. Step 6: Final answer
    x = 1,738,850.66

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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.