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Finding the Third Proportional to 386,424 and 837,168.75

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Solution

The third proportional to 386,424 and 837,168.75 is: 1,813,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,424 : 837,168.75 = 837,168.75 : x
  2. Step 2: Convert to fraction form
    386,424/837,168.75 = 837,168.75/x
  3. Step 3: Cross multiply
    386,424x = 837,168.75 × 837,168.75
  4. Step 4: Simplify right side
    386,424x = 700,851,515,976.56
  5. Step 5: Solve for x
    x = 700,851,515,976.56/386,424
  6. Step 6: Final answer
    x = 1,813,685.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.