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Finding the Third Proportional to 416,603 and 622,178

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Solution

The third proportional to 416,603 and 622,178 is: 929,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,603 : 622,178 = 622,178 : x
  2. Step 2: Convert to fraction form
    416,603/622,178 = 622,178/x
  3. Step 3: Cross multiply
    416,603x = 622,178 × 622,178
  4. Step 4: Simplify right side
    416,603x = 387,105,463,684
  5. Step 5: Solve for x
    x = 387,105,463,684/416,603
  6. Step 6: Final answer
    x = 929,195.09

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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.