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Finding the Third Proportional to 386,351.25 and 837,016.50

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Solution

The third proportional to 386,351.25 and 837,016.50 is: 1,813,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,351.25 : 837,016.50 = 837,016.50 : x
  2. Step 2: Convert to fraction form
    386,351.25/837,016.50 = 837,016.50/x
  3. Step 3: Cross multiply
    386,351.25x = 837,016.50 × 837,016.50
  4. Step 4: Simplify right side
    386,351.25x = 700,596,621,272.25
  5. Step 5: Solve for x
    x = 700,596,621,272.25/386,351.25
  6. Step 6: Final answer
    x = 1,813,367.04

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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.