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Finding the Third Proportional to 394,201.50 and 864,704.25

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Solution

The third proportional to 394,201.50 and 864,704.25 is: 1,896,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,201.50 : 864,704.25 = 864,704.25 : x
  2. Step 2: Convert to fraction form
    394,201.50/864,704.25 = 864,704.25/x
  3. Step 3: Cross multiply
    394,201.50x = 864,704.25 × 864,704.25
  4. Step 4: Simplify right side
    394,201.50x = 747,713,439,968.06
  5. Step 5: Solve for x
    x = 747,713,439,968.06/394,201.50
  6. Step 6: Final answer
    x = 1,896,779.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.