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Finding the Third Proportional to 300,285 and 652,977

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Solution

The third proportional to 300,285 and 652,977 is: 1,419,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,285 : 652,977 = 652,977 : x
  2. Step 2: Convert to fraction form
    300,285/652,977 = 652,977/x
  3. Step 3: Cross multiply
    300,285x = 652,977 × 652,977
  4. Step 4: Simplify right side
    300,285x = 426,378,962,529
  5. Step 5: Solve for x
    x = 426,378,962,529/300,285
  6. Step 6: Final answer
    x = 1,419,914.29

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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.