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Finding the Third Proportional to 352,644.75 and 529,818.75

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Solution

The third proportional to 352,644.75 and 529,818.75 is: 796,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,644.75 : 529,818.75 = 529,818.75 : x
  2. Step 2: Convert to fraction form
    352,644.75/529,818.75 = 529,818.75/x
  3. Step 3: Cross multiply
    352,644.75x = 529,818.75 × 529,818.75
  4. Step 4: Simplify right side
    352,644.75x = 280,707,907,851.56
  5. Step 5: Solve for x
    x = 280,707,907,851.56/352,644.75
  6. Step 6: Final answer
    x = 796,007.62

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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.