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Finding the Third Proportional to 294,205.50 and 635,067

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Solution

The third proportional to 294,205.50 and 635,067 is: 1,370,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,205.50 : 635,067 = 635,067 : x
  2. Step 2: Convert to fraction form
    294,205.50/635,067 = 635,067/x
  3. Step 3: Cross multiply
    294,205.50x = 635,067 × 635,067
  4. Step 4: Simplify right side
    294,205.50x = 403,310,094,489
  5. Step 5: Solve for x
    x = 403,310,094,489/294,205.50
  6. Step 6: Final answer
    x = 1,370,844.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.