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Finding the Third Proportional to 227,067 and 535,259

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Solution

The third proportional to 227,067 and 535,259 is: 1,261,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,067 : 535,259 = 535,259 : x
  2. Step 2: Convert to fraction form
    227,067/535,259 = 535,259/x
  3. Step 3: Cross multiply
    227,067x = 535,259 × 535,259
  4. Step 4: Simplify right side
    227,067x = 286,502,197,081
  5. Step 5: Solve for x
    x = 286,502,197,081/227,067
  6. Step 6: Final answer
    x = 1,261,751.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.