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Finding the Third Proportional to 407,058 and 622,675

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Solution

The third proportional to 407,058 and 622,675 is: 952,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,058 : 622,675 = 622,675 : x
  2. Step 2: Convert to fraction form
    407,058/622,675 = 622,675/x
  3. Step 3: Cross multiply
    407,058x = 622,675 × 622,675
  4. Step 4: Simplify right side
    407,058x = 387,724,155,625
  5. Step 5: Solve for x
    x = 387,724,155,625/407,058
  6. Step 6: Final answer
    x = 952,503.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.