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Finding the Third Proportional to 352,736 and 529,910

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Solution

The third proportional to 352,736 and 529,910 is: 796,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,736 : 529,910 = 529,910 : x
  2. Step 2: Convert to fraction form
    352,736/529,910 = 529,910/x
  3. Step 3: Cross multiply
    352,736x = 529,910 × 529,910
  4. Step 4: Simplify right side
    352,736x = 280,804,608,100
  5. Step 5: Solve for x
    x = 280,804,608,100/352,736
  6. Step 6: Final answer
    x = 796,075.84

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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.