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Finding the Third Proportional to 409,760.44 and 620,353.69

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Solution

The third proportional to 409,760.44 and 620,353.69 is: 939,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,760.44 : 620,353.69 = 620,353.69 : x
  2. Step 2: Convert to fraction form
    409,760.44/620,353.69 = 620,353.69/x
  3. Step 3: Cross multiply
    409,760.44x = 620,353.69 × 620,353.69
  4. Step 4: Simplify right side
    409,760.44x = 384,838,697,594.85
  5. Step 5: Solve for x
    x = 384,838,697,594.85/409,760.44
  6. Step 6: Final answer
    x = 939,179.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.