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Finding the Third Proportional to 307,299 and 670,638

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Solution

The third proportional to 307,299 and 670,638 is: 1,463,575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,299 : 670,638 = 670,638 : x
  2. Step 2: Convert to fraction form
    307,299/670,638 = 670,638/x
  3. Step 3: Cross multiply
    307,299x = 670,638 × 670,638
  4. Step 4: Simplify right side
    307,299x = 449,755,327,044
  5. Step 5: Solve for x
    x = 449,755,327,044/307,299
  6. Step 6: Final answer
    x = 1,463,575.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.