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Finding the Third Proportional to 266,960 and 580,384

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Solution

The third proportional to 266,960 and 580,384 is: 1,261,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,960 : 580,384 = 580,384 : x
  2. Step 2: Convert to fraction form
    266,960/580,384 = 580,384/x
  3. Step 3: Cross multiply
    266,960x = 580,384 × 580,384
  4. Step 4: Simplify right side
    266,960x = 336,845,587,456
  5. Step 5: Solve for x
    x = 336,845,587,456/266,960
  6. Step 6: Final answer
    x = 1,261,782.99

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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.