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Finding the Third Proportional to 269,067 and 555,633

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Solution

The third proportional to 269,067 and 555,633 is: 1,147,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,067 : 555,633 = 555,633 : x
  2. Step 2: Convert to fraction form
    269,067/555,633 = 555,633/x
  3. Step 3: Cross multiply
    269,067x = 555,633 × 555,633
  4. Step 4: Simplify right side
    269,067x = 308,728,030,689
  5. Step 5: Solve for x
    x = 308,728,030,689/269,067
  6. Step 6: Final answer
    x = 1,147,402.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.