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Finding the Third Proportional to 300,696 and 699,226

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Solution

The third proportional to 300,696 and 699,226 is: 1,625,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,696 : 699,226 = 699,226 : x
  2. Step 2: Convert to fraction form
    300,696/699,226 = 699,226/x
  3. Step 3: Cross multiply
    300,696x = 699,226 × 699,226
  4. Step 4: Simplify right side
    300,696x = 488,916,999,076
  5. Step 5: Solve for x
    x = 488,916,999,076/300,696
  6. Step 6: Final answer
    x = 1,625,951.12

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.