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Finding the Third Proportional to 235,469 and 352,279

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Solution

The third proportional to 235,469 and 352,279 is: 527,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,469 : 352,279 = 352,279 : x
  2. Step 2: Convert to fraction form
    235,469/352,279 = 352,279/x
  3. Step 3: Cross multiply
    235,469x = 352,279 × 352,279
  4. Step 4: Simplify right side
    235,469x = 124,100,493,841
  5. Step 5: Solve for x
    x = 124,100,493,841/235,469
  6. Step 6: Final answer
    x = 527,035.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.