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Finding the Third Proportional to 412,129.50 and 878,692.50

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Solution

The third proportional to 412,129.50 and 878,692.50 is: 1,873,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,129.50 : 878,692.50 = 878,692.50 : x
  2. Step 2: Convert to fraction form
    412,129.50/878,692.50 = 878,692.50/x
  3. Step 3: Cross multiply
    412,129.50x = 878,692.50 × 878,692.50
  4. Step 4: Simplify right side
    412,129.50x = 772,100,509,556.25
  5. Step 5: Solve for x
    x = 772,100,509,556.25/412,129.50
  6. Step 6: Final answer
    x = 1,873,441.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.