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Finding the Third Proportional to 361,734.75 and 764,068.50

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Solution

The third proportional to 361,734.75 and 764,068.50 is: 1,613,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,734.75 : 764,068.50 = 764,068.50 : x
  2. Step 2: Convert to fraction form
    361,734.75/764,068.50 = 764,068.50/x
  3. Step 3: Cross multiply
    361,734.75x = 764,068.50 × 764,068.50
  4. Step 4: Simplify right side
    361,734.75x = 583,800,672,692.25
  5. Step 5: Solve for x
    x = 583,800,672,692.25/361,734.75
  6. Step 6: Final answer
    x = 1,613,891.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.