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Finding the Third Proportional to 379,662.75 and 802,014.75

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Solution

The third proportional to 379,662.75 and 802,014.75 is: 1,694,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,662.75 : 802,014.75 = 802,014.75 : x
  2. Step 2: Convert to fraction form
    379,662.75/802,014.75 = 802,014.75/x
  3. Step 3: Cross multiply
    379,662.75x = 802,014.75 × 802,014.75
  4. Step 4: Simplify right side
    379,662.75x = 643,227,659,217.56
  5. Step 5: Solve for x
    x = 643,227,659,217.56/379,662.75
  6. Step 6: Final answer
    x = 1,694,207.98

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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.