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Finding the Third Proportional to 352,846 and 775,676

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Solution

The third proportional to 352,846 and 775,676 is: 1,705,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,846 : 775,676 = 775,676 : x
  2. Step 2: Convert to fraction form
    352,846/775,676 = 775,676/x
  3. Step 3: Cross multiply
    352,846x = 775,676 × 775,676
  4. Step 4: Simplify right side
    352,846x = 601,673,256,976
  5. Step 5: Solve for x
    x = 601,673,256,976/352,846
  6. Step 6: Final answer
    x = 1,705,200.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.