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Finding the Third Proportional to 300,296 and 652,512

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Solution

The third proportional to 300,296 and 652,512 is: 1,417,840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,296 : 652,512 = 652,512 : x
  2. Step 2: Convert to fraction form
    300,296/652,512 = 652,512/x
  3. Step 3: Cross multiply
    300,296x = 652,512 × 652,512
  4. Step 4: Simplify right side
    300,296x = 425,771,910,144
  5. Step 5: Solve for x
    x = 425,771,910,144/300,296
  6. Step 6: Final answer
    x = 1,417,840.76

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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.