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Finding the Third Proportional to 694,473.75 and 1,043,558.44

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Solution

The third proportional to 694,473.75 and 1,043,558.44 is: 1,568,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,473.75 : 1,043,558.44 = 1,043,558.44 : x
  2. Step 2: Convert to fraction form
    694,473.75/1,043,558.44 = 1,043,558.44/x
  3. Step 3: Cross multiply
    694,473.75x = 1,043,558.44 × 1,043,558.44
  4. Step 4: Simplify right side
    694,473.75x = 1,089,014,212,477.44
  5. Step 5: Solve for x
    x = 1,089,014,212,477.44/694,473.75
  6. Step 6: Final answer
    x = 1,568,114.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.