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Finding the Third Proportional to 361,908 and 475,908

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Solution

The third proportional to 361,908 and 475,908 is: 625,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,908 : 475,908 = 475,908 : x
  2. Step 2: Convert to fraction form
    361,908/475,908 = 475,908/x
  3. Step 3: Cross multiply
    361,908x = 475,908 × 475,908
  4. Step 4: Simplify right side
    361,908x = 226,488,424,464
  5. Step 5: Solve for x
    x = 226,488,424,464/361,908
  6. Step 6: Final answer
    x = 625,817.68

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.