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Finding the Third Proportional to 668,704.50 and 1,303,923

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Solution

The third proportional to 668,704.50 and 1,303,923 is: 2,542,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,704.50 : 1,303,923 = 1,303,923 : x
  2. Step 2: Convert to fraction form
    668,704.50/1,303,923 = 1,303,923/x
  3. Step 3: Cross multiply
    668,704.50x = 1,303,923 × 1,303,923
  4. Step 4: Simplify right side
    668,704.50x = 1,700,215,189,929
  5. Step 5: Solve for x
    x = 1,700,215,189,929/668,704.50
  6. Step 6: Final answer
    x = 2,542,550.84

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.