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Finding the Third Proportional to 352,786.50 and 529,969.50

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Solution

The third proportional to 352,786.50 and 529,969.50 is: 796,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,786.50 : 529,969.50 = 529,969.50 : x
  2. Step 2: Convert to fraction form
    352,786.50/529,969.50 = 529,969.50/x
  3. Step 3: Cross multiply
    352,786.50x = 529,969.50 × 529,969.50
  4. Step 4: Simplify right side
    352,786.50x = 280,867,670,930.25
  5. Step 5: Solve for x
    x = 280,867,670,930.25/352,786.50
  6. Step 6: Final answer
    x = 796,140.64

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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.