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Finding the Third Proportional to 324,067 and 475,156

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Solution

The third proportional to 324,067 and 475,156 is: 696,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,067 : 475,156 = 475,156 : x
  2. Step 2: Convert to fraction form
    324,067/475,156 = 475,156/x
  3. Step 3: Cross multiply
    324,067x = 475,156 × 475,156
  4. Step 4: Simplify right side
    324,067x = 225,773,224,336
  5. Step 5: Solve for x
    x = 225,773,224,336/324,067
  6. Step 6: Final answer
    x = 696,686.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.