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Finding the Third Proportional to 494,724 and 796,554

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Solution

The third proportional to 494,724 and 796,554 is: 1,282,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,724 : 796,554 = 796,554 : x
  2. Step 2: Convert to fraction form
    494,724/796,554 = 796,554/x
  3. Step 3: Cross multiply
    494,724x = 796,554 × 796,554
  4. Step 4: Simplify right side
    494,724x = 634,498,274,916
  5. Step 5: Solve for x
    x = 634,498,274,916/494,724
  6. Step 6: Final answer
    x = 1,282,529.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.