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Finding the Third Proportional to 409,735.50 and 894,189

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Solution

The third proportional to 409,735.50 and 894,189 is: 1,951,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,735.50 : 894,189 = 894,189 : x
  2. Step 2: Convert to fraction form
    409,735.50/894,189 = 894,189/x
  3. Step 3: Cross multiply
    409,735.50x = 894,189 × 894,189
  4. Step 4: Simplify right side
    409,735.50x = 799,573,967,721
  5. Step 5: Solve for x
    x = 799,573,967,721/409,735.50
  6. Step 6: Final answer
    x = 1,951,439.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.