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Finding the Third Proportional to 409,789.13 and 620,394.19

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Solution

The third proportional to 409,789.13 and 620,394.19 is: 939,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,789.13 : 620,394.19 = 620,394.19 : x
  2. Step 2: Convert to fraction form
    409,789.13/620,394.19 = 620,394.19/x
  3. Step 3: Cross multiply
    409,789.13x = 620,394.19 × 620,394.19
  4. Step 4: Simplify right side
    409,789.13x = 384,888,947,883.79
  5. Step 5: Solve for x
    x = 384,888,947,883.79/409,789.13
  6. Step 6: Final answer
    x = 939,236.61

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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.