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Finding the Third Proportional to 416,241 and 622,692

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Solution

The third proportional to 416,241 and 622,692 is: 931,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,241 : 622,692 = 622,692 : x
  2. Step 2: Convert to fraction form
    416,241/622,692 = 622,692/x
  3. Step 3: Cross multiply
    416,241x = 622,692 × 622,692
  4. Step 4: Simplify right side
    416,241x = 387,745,326,864
  5. Step 5: Solve for x
    x = 387,745,326,864/416,241
  6. Step 6: Final answer
    x = 931,540.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.