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Finding the Third Proportional to 416,606 and 622,182

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Solution

The third proportional to 416,606 and 622,182 is: 929,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,606 : 622,182 = 622,182 : x
  2. Step 2: Convert to fraction form
    416,606/622,182 = 622,182/x
  3. Step 3: Cross multiply
    416,606x = 622,182 × 622,182
  4. Step 4: Simplify right side
    416,606x = 387,110,441,124
  5. Step 5: Solve for x
    x = 387,110,441,124/416,606
  6. Step 6: Final answer
    x = 929,200.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.