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Finding the Third Proportional to 352,724 and 529,890

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Solution

The third proportional to 352,724 and 529,890 is: 796,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,724 : 529,890 = 529,890 : x
  2. Step 2: Convert to fraction form
    352,724/529,890 = 529,890/x
  3. Step 3: Cross multiply
    352,724x = 529,890 × 529,890
  4. Step 4: Simplify right side
    352,724x = 280,783,412,100
  5. Step 5: Solve for x
    x = 280,783,412,100/352,724
  6. Step 6: Final answer
    x = 796,042.83

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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.