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Finding the Third Proportional to 263,011.50 and 567,067.50

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Solution

The third proportional to 263,011.50 and 567,067.50 is: 1,222,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,011.50 : 567,067.50 = 567,067.50 : x
  2. Step 2: Convert to fraction form
    263,011.50/567,067.50 = 567,067.50/x
  3. Step 3: Cross multiply
    263,011.50x = 567,067.50 × 567,067.50
  4. Step 4: Simplify right side
    263,011.50x = 321,565,549,556.25
  5. Step 5: Solve for x
    x = 321,565,549,556.25/263,011.50
  6. Step 6: Final answer
    x = 1,222,629.24

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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.