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Finding the Third Proportional to 685,408.50 and 1,485,216

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Solution

The third proportional to 685,408.50 and 1,485,216 is: 3,218,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,408.50 : 1,485,216 = 1,485,216 : x
  2. Step 2: Convert to fraction form
    685,408.50/1,485,216 = 1,485,216/x
  3. Step 3: Cross multiply
    685,408.50x = 1,485,216 × 1,485,216
  4. Step 4: Simplify right side
    685,408.50x = 2,205,866,566,656
  5. Step 5: Solve for x
    x = 2,205,866,566,656/685,408.50
  6. Step 6: Final answer
    x = 3,218,323.91

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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.