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Finding the Third Proportional to 694,489.50 and 1,043,583.19

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Solution

The third proportional to 694,489.50 and 1,043,583.19 is: 1,568,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,489.50 : 1,043,583.19 = 1,043,583.19 : x
  2. Step 2: Convert to fraction form
    694,489.50/1,043,583.19 = 1,043,583.19/x
  3. Step 3: Cross multiply
    694,489.50x = 1,043,583.19 × 1,043,583.19
  4. Step 4: Simplify right side
    694,489.50x = 1,089,065,869,232.66
  5. Step 5: Solve for x
    x = 1,089,065,869,232.66/694,489.50
  6. Step 6: Final answer
    x = 1,568,153.11

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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.