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Finding the Third Proportional to 264,763.69 and 397,737.84

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Solution

The third proportional to 264,763.69 and 397,737.84 is: 597,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,763.69 : 397,737.84 = 397,737.84 : x
  2. Step 2: Convert to fraction form
    264,763.69/397,737.84 = 397,737.84/x
  3. Step 3: Cross multiply
    264,763.69x = 397,737.84 × 397,737.84
  4. Step 4: Simplify right side
    264,763.69x = 158,195,392,350.90
  5. Step 5: Solve for x
    x = 158,195,392,350.90/264,763.69
  6. Step 6: Final answer
    x = 597,496.56

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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.