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Finding the Third Proportional to 367,721.44 and 796,516.03

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Solution

The third proportional to 367,721.44 and 796,516.03 is: 1,725,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,721.44 : 796,516.03 = 796,516.03 : x
  2. Step 2: Convert to fraction form
    367,721.44/796,516.03 = 796,516.03/x
  3. Step 3: Cross multiply
    367,721.44x = 796,516.03 × 796,516.03
  4. Step 4: Simplify right side
    367,721.44x = 634,437,788,038.25
  5. Step 5: Solve for x
    x = 634,437,788,038.25/367,721.44
  6. Step 6: Final answer
    x = 1,725,321.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.