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Finding the Third Proportional to 300,108 and 475,218

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Solution

The third proportional to 300,108 and 475,218 is: 752,502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,108 : 475,218 = 475,218 : x
  2. Step 2: Convert to fraction form
    300,108/475,218 = 475,218/x
  3. Step 3: Cross multiply
    300,108x = 475,218 × 475,218
  4. Step 4: Simplify right side
    300,108x = 225,832,147,524
  5. Step 5: Solve for x
    x = 225,832,147,524/300,108
  6. Step 6: Final answer
    x = 752,502.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.