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Finding the Third Proportional to 266,714 and 579,219

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Solution

The third proportional to 266,714 and 579,219 is: 1,257,881.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,714 : 579,219 = 579,219 : x
  2. Step 2: Convert to fraction form
    266,714/579,219 = 579,219/x
  3. Step 3: Cross multiply
    266,714x = 579,219 × 579,219
  4. Step 4: Simplify right side
    266,714x = 335,494,649,961
  5. Step 5: Solve for x
    x = 335,494,649,961/266,714
  6. Step 6: Final answer
    x = 1,257,881.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.