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Finding the Third Proportional to 269,842 and 580,504

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Solution

The third proportional to 269,842 and 580,504 is: 1,248,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,842 : 580,504 = 580,504 : x
  2. Step 2: Convert to fraction form
    269,842/580,504 = 580,504/x
  3. Step 3: Cross multiply
    269,842x = 580,504 × 580,504
  4. Step 4: Simplify right side
    269,842x = 336,984,894,016
  5. Step 5: Solve for x
    x = 336,984,894,016/269,842
  6. Step 6: Final answer
    x = 1,248,822.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.