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Finding the Third Proportional to 579,838.50 and 816,540.75

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Solution

The third proportional to 579,838.50 and 816,540.75 is: 1,149,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,838.50 : 816,540.75 = 816,540.75 : x
  2. Step 2: Convert to fraction form
    579,838.50/816,540.75 = 816,540.75/x
  3. Step 3: Cross multiply
    579,838.50x = 816,540.75 × 816,540.75
  4. Step 4: Simplify right side
    579,838.50x = 666,738,796,410.56
  5. Step 5: Solve for x
    x = 666,738,796,410.56/579,838.50
  6. Step 6: Final answer
    x = 1,149,869.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.