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Finding the Third Proportional to 300,736 and 653,296

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Solution

The third proportional to 300,736 and 653,296 is: 1,419,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,736 : 653,296 = 653,296 : x
  2. Step 2: Convert to fraction form
    300,736/653,296 = 653,296/x
  3. Step 3: Cross multiply
    300,736x = 653,296 × 653,296
  4. Step 4: Simplify right side
    300,736x = 426,795,663,616
  5. Step 5: Solve for x
    x = 426,795,663,616/300,736
  6. Step 6: Final answer
    x = 1,419,170.51

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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.