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Finding the Third Proportional to 266,265 and 579,186

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Solution

The third proportional to 266,265 and 579,186 is: 1,259,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,265 : 579,186 = 579,186 : x
  2. Step 2: Convert to fraction form
    266,265/579,186 = 579,186/x
  3. Step 3: Cross multiply
    266,265x = 579,186 × 579,186
  4. Step 4: Simplify right side
    266,265x = 335,456,422,596
  5. Step 5: Solve for x
    x = 335,456,422,596/266,265
  6. Step 6: Final answer
    x = 1,259,859.25

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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.