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Finding the Third Proportional to 266,904 and 580,272

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Solution

The third proportional to 266,904 and 580,272 is: 1,261,560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,904 : 580,272 = 580,272 : x
  2. Step 2: Convert to fraction form
    266,904/580,272 = 580,272/x
  3. Step 3: Cross multiply
    266,904x = 580,272 × 580,272
  4. Step 4: Simplify right side
    266,904x = 336,715,593,984
  5. Step 5: Solve for x
    x = 336,715,593,984/266,904
  6. Step 6: Final answer
    x = 1,261,560.69

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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.