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Finding the Third Proportional to 352,794.38 and 529,985.81

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Solution

The third proportional to 352,794.38 and 529,985.81 is: 796,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,794.38 : 529,985.81 = 529,985.81 : x
  2. Step 2: Convert to fraction form
    352,794.38/529,985.81 = 529,985.81/x
  3. Step 3: Cross multiply
    352,794.38x = 529,985.81 × 529,985.81
  4. Step 4: Simplify right side
    352,794.38x = 280,884,961,451.29
  5. Step 5: Solve for x
    x = 280,884,961,451.29/352,794.38
  6. Step 6: Final answer
    x = 796,171.88

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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.