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Finding the Third Proportional to 512,752.50 and 796,007.25

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Solution

The third proportional to 512,752.50 and 796,007.25 is: 1,235,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,752.50 : 796,007.25 = 796,007.25 : x
  2. Step 2: Convert to fraction form
    512,752.50/796,007.25 = 796,007.25/x
  3. Step 3: Cross multiply
    512,752.50x = 796,007.25 × 796,007.25
  4. Step 4: Simplify right side
    512,752.50x = 633,627,542,052.56
  5. Step 5: Solve for x
    x = 633,627,542,052.56/512,752.50
  6. Step 6: Final answer
    x = 1,235,737.60

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Why These Related Problems?

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