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Finding the Third Proportional to 352,269 and 567,189

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Solution

The third proportional to 352,269 and 567,189 is: 913,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,269 : 567,189 = 567,189 : x
  2. Step 2: Convert to fraction form
    352,269/567,189 = 567,189/x
  3. Step 3: Cross multiply
    352,269x = 567,189 × 567,189
  4. Step 4: Simplify right side
    352,269x = 321,703,361,721
  5. Step 5: Solve for x
    x = 321,703,361,721/352,269
  6. Step 6: Final answer
    x = 913,232.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.