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Finding the Third Proportional to 531,942.19 and 796,033.83

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Solution

The third proportional to 531,942.19 and 796,033.83 is: 1,191,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,942.19 : 796,033.83 = 796,033.83 : x
  2. Step 2: Convert to fraction form
    531,942.19/796,033.83 = 796,033.83/x
  3. Step 3: Cross multiply
    531,942.19x = 796,033.83 × 796,033.83
  4. Step 4: Simplify right side
    531,942.19x = 633,669,855,519.34
  5. Step 5: Solve for x
    x = 633,669,855,519.34/531,942.19
  6. Step 6: Final answer
    x = 1,191,238.20

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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.