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Finding the Third Proportional to 389,716.25 and 837,447.75

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Solution

The third proportional to 389,716.25 and 837,447.75 is: 1,799,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,716.25 : 837,447.75 = 837,447.75 : x
  2. Step 2: Convert to fraction form
    389,716.25/837,447.75 = 837,447.75/x
  3. Step 3: Cross multiply
    389,716.25x = 837,447.75 × 837,447.75
  4. Step 4: Simplify right side
    389,716.25x = 701,318,733,980.06
  5. Step 5: Solve for x
    x = 701,318,733,980.06/389,716.25
  6. Step 6: Final answer
    x = 1,799,562.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.