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Finding the Third Proportional to 352,794 and 529,985.25

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Solution

The third proportional to 352,794 and 529,985.25 is: 796,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,794 : 529,985.25 = 529,985.25 : x
  2. Step 2: Convert to fraction form
    352,794/529,985.25 = 529,985.25/x
  3. Step 3: Cross multiply
    352,794x = 529,985.25 × 529,985.25
  4. Step 4: Simplify right side
    352,794x = 280,884,365,217.56
  5. Step 5: Solve for x
    x = 280,884,365,217.56/352,794
  6. Step 6: Final answer
    x = 796,171.04

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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.