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Finding the Third Proportional to 266,231 and 579,109

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Solution

The third proportional to 266,231 and 579,109 is: 1,259,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,231 : 579,109 = 579,109 : x
  2. Step 2: Convert to fraction form
    266,231/579,109 = 579,109/x
  3. Step 3: Cross multiply
    266,231x = 579,109 × 579,109
  4. Step 4: Simplify right side
    266,231x = 335,367,233,881
  5. Step 5: Solve for x
    x = 335,367,233,881/266,231
  6. Step 6: Final answer
    x = 1,259,685.14

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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.