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Finding the Third Proportional to 472,964.75 and 734,367.75

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Solution

The third proportional to 472,964.75 and 734,367.75 is: 1,140,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,964.75 : 734,367.75 = 734,367.75 : x
  2. Step 2: Convert to fraction form
    472,964.75/734,367.75 = 734,367.75/x
  3. Step 3: Cross multiply
    472,964.75x = 734,367.75 × 734,367.75
  4. Step 4: Simplify right side
    472,964.75x = 539,295,992,240.06
  5. Step 5: Solve for x
    x = 539,295,992,240.06/472,964.75
  6. Step 6: Final answer
    x = 1,140,245.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.