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Finding the Third Proportional to 394,114.50 and 866,961

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Solution

The third proportional to 394,114.50 and 866,961 is: 1,907,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,114.50 : 866,961 = 866,961 : x
  2. Step 2: Convert to fraction form
    394,114.50/866,961 = 866,961/x
  3. Step 3: Cross multiply
    394,114.50x = 866,961 × 866,961
  4. Step 4: Simplify right side
    394,114.50x = 751,621,375,521
  5. Step 5: Solve for x
    x = 751,621,375,521/394,114.50
  6. Step 6: Final answer
    x = 1,907,114.24

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Why These Related Problems?

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