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Finding the Third Proportional to 394,170 and 864,643.50

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Solution

The third proportional to 394,170 and 864,643.50 is: 1,896,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,170 : 864,643.50 = 864,643.50 : x
  2. Step 2: Convert to fraction form
    394,170/864,643.50 = 864,643.50/x
  3. Step 3: Cross multiply
    394,170x = 864,643.50 × 864,643.50
  4. Step 4: Simplify right side
    394,170x = 747,608,382,092.25
  5. Step 5: Solve for x
    x = 747,608,382,092.25/394,170
  6. Step 6: Final answer
    x = 1,896,664.85

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