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Finding the Third Proportional to 352,844 and 775,672

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Solution

The third proportional to 352,844 and 775,672 is: 1,705,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,844 : 775,672 = 775,672 : x
  2. Step 2: Convert to fraction form
    352,844/775,672 = 775,672/x
  3. Step 3: Cross multiply
    352,844x = 775,672 × 775,672
  4. Step 4: Simplify right side
    352,844x = 601,667,051,584
  5. Step 5: Solve for x
    x = 601,667,051,584/352,844
  6. Step 6: Final answer
    x = 1,705,192.81

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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.