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Finding the Third Proportional to 413,625 and 622,900

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Solution

The third proportional to 413,625 and 622,900 is: 938,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,625 : 622,900 = 622,900 : x
  2. Step 2: Convert to fraction form
    413,625/622,900 = 622,900/x
  3. Step 3: Cross multiply
    413,625x = 622,900 × 622,900
  4. Step 4: Simplify right side
    413,625x = 388,004,410,000
  5. Step 5: Solve for x
    x = 388,004,410,000/413,625
  6. Step 6: Final answer
    x = 938,058.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.