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Finding the Third Proportional to 352,781 and 529,966

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Solution

The third proportional to 352,781 and 529,966 is: 796,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,781 : 529,966 = 529,966 : x
  2. Step 2: Convert to fraction form
    352,781/529,966 = 529,966/x
  3. Step 3: Cross multiply
    352,781x = 529,966 × 529,966
  4. Step 4: Simplify right side
    352,781x = 280,863,961,156
  5. Step 5: Solve for x
    x = 280,863,961,156/352,781
  6. Step 6: Final answer
    x = 796,142.54

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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.