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Finding the Third Proportional to 376,477.50 and 734,039.25

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Solution

The third proportional to 376,477.50 and 734,039.25 is: 1,431,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,477.50 : 734,039.25 = 734,039.25 : x
  2. Step 2: Convert to fraction form
    376,477.50/734,039.25 = 734,039.25/x
  3. Step 3: Cross multiply
    376,477.50x = 734,039.25 × 734,039.25
  4. Step 4: Simplify right side
    376,477.50x = 538,813,620,540.56
  5. Step 5: Solve for x
    x = 538,813,620,540.56/376,477.50
  6. Step 6: Final answer
    x = 1,431,197.40

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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.