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Finding the Third Proportional to 481,704.75 and 677,747.25

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Solution

The third proportional to 481,704.75 and 677,747.25 is: 953,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,704.75 : 677,747.25 = 677,747.25 : x
  2. Step 2: Convert to fraction form
    481,704.75/677,747.25 = 677,747.25/x
  3. Step 3: Cross multiply
    481,704.75x = 677,747.25 × 677,747.25
  4. Step 4: Simplify right side
    481,704.75x = 459,341,334,882.56
  5. Step 5: Solve for x
    x = 459,341,334,882.56/481,704.75
  6. Step 6: Final answer
    x = 953,574.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.