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Finding the Third Proportional to 299,680 and 682,504

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Solution

The third proportional to 299,680 and 682,504 is: 1,554,363.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,680 : 682,504 = 682,504 : x
  2. Step 2: Convert to fraction form
    299,680/682,504 = 682,504/x
  3. Step 3: Cross multiply
    299,680x = 682,504 × 682,504
  4. Step 4: Simplify right side
    299,680x = 465,811,710,016
  5. Step 5: Solve for x
    x = 465,811,710,016/299,680
  6. Step 6: Final answer
    x = 1,554,363.69

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.