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Finding the Third Proportional to 285,625 and 676,696

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Solution

The third proportional to 285,625 and 676,696 is: 1,603,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,625 : 676,696 = 676,696 : x
  2. Step 2: Convert to fraction form
    285,625/676,696 = 676,696/x
  3. Step 3: Cross multiply
    285,625x = 676,696 × 676,696
  4. Step 4: Simplify right side
    285,625x = 457,917,476,416
  5. Step 5: Solve for x
    x = 457,917,476,416/285,625
  6. Step 6: Final answer
    x = 1,603,212.17

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.