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Finding the Third Proportional to 300,412 and 475,626

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Solution

The third proportional to 300,412 and 475,626 is: 753,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,412 : 475,626 = 475,626 : x
  2. Step 2: Convert to fraction form
    300,412/475,626 = 475,626/x
  3. Step 3: Cross multiply
    300,412x = 475,626 × 475,626
  4. Step 4: Simplify right side
    300,412x = 226,220,091,876
  5. Step 5: Solve for x
    x = 226,220,091,876/300,412
  6. Step 6: Final answer
    x = 753,032.81

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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.