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Finding the Third Proportional to 266,266 and 579,188

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Solution

The third proportional to 266,266 and 579,188 is: 1,259,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,266 : 579,188 = 579,188 : x
  2. Step 2: Convert to fraction form
    266,266/579,188 = 579,188/x
  3. Step 3: Cross multiply
    266,266x = 579,188 × 579,188
  4. Step 4: Simplify right side
    266,266x = 335,458,739,344
  5. Step 5: Solve for x
    x = 335,458,739,344/266,266
  6. Step 6: Final answer
    x = 1,259,863.22

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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.