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Finding the Third Proportional to 352,728 and 529,896

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Solution

The third proportional to 352,728 and 529,896 is: 796,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,728 : 529,896 = 529,896 : x
  2. Step 2: Convert to fraction form
    352,728/529,896 = 529,896/x
  3. Step 3: Cross multiply
    352,728x = 529,896 × 529,896
  4. Step 4: Simplify right side
    352,728x = 280,789,770,816
  5. Step 5: Solve for x
    x = 280,789,770,816/352,728
  6. Step 6: Final answer
    x = 796,051.83

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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.