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Finding the Third Proportional to 451,824.75 and 677,757.38

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Solution

The third proportional to 451,824.75 and 677,757.38 is: 1,016,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,824.75 : 677,757.38 = 677,757.38 : x
  2. Step 2: Convert to fraction form
    451,824.75/677,757.38 = 677,757.38/x
  3. Step 3: Cross multiply
    451,824.75x = 677,757.38 × 677,757.38
  4. Step 4: Simplify right side
    451,824.75x = 459,355,059,366.89
  5. Step 5: Solve for x
    x = 459,355,059,366.89/451,824.75
  6. Step 6: Final answer
    x = 1,016,666.44

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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.