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Finding the Third Proportional to 266,868 and 580,392

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Solution

The third proportional to 266,868 and 580,392 is: 1,262,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,868 : 580,392 = 580,392 : x
  2. Step 2: Convert to fraction form
    266,868/580,392 = 580,392/x
  3. Step 3: Cross multiply
    266,868x = 580,392 × 580,392
  4. Step 4: Simplify right side
    266,868x = 336,854,873,664
  5. Step 5: Solve for x
    x = 336,854,873,664/266,868
  6. Step 6: Final answer
    x = 1,262,252.78

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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.