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Finding the Third Proportional to 352,272 and 471,930

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Solution

The third proportional to 352,272 and 471,930 is: 632,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,272 : 471,930 = 471,930 : x
  2. Step 2: Convert to fraction form
    352,272/471,930 = 471,930/x
  3. Step 3: Cross multiply
    352,272x = 471,930 × 471,930
  4. Step 4: Simplify right side
    352,272x = 222,717,924,900
  5. Step 5: Solve for x
    x = 222,717,924,900/352,272
  6. Step 6: Final answer
    x = 632,232.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.