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Finding the Third Proportional to 412,994.25 and 848,220.75

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Solution

The third proportional to 412,994.25 and 848,220.75 is: 1,742,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,994.25 : 848,220.75 = 848,220.75 : x
  2. Step 2: Convert to fraction form
    412,994.25/848,220.75 = 848,220.75/x
  3. Step 3: Cross multiply
    412,994.25x = 848,220.75 × 848,220.75
  4. Step 4: Simplify right side
    412,994.25x = 719,478,440,730.56
  5. Step 5: Solve for x
    x = 719,478,440,730.56/412,994.25
  6. Step 6: Final answer
    x = 1,742,102.80

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.