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Finding the Third Proportional to 300,067 and 654,054

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Solution

The third proportional to 300,067 and 654,054 is: 1,425,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,067 : 654,054 = 654,054 : x
  2. Step 2: Convert to fraction form
    300,067/654,054 = 654,054/x
  3. Step 3: Cross multiply
    300,067x = 654,054 × 654,054
  4. Step 4: Simplify right side
    300,067x = 427,786,634,916
  5. Step 5: Solve for x
    x = 427,786,634,916/300,067
  6. Step 6: Final answer
    x = 1,425,637.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.