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Finding the Third Proportional to 416,502 and 622,971

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Solution

The third proportional to 416,502 and 622,971 is: 931,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,502 : 622,971 = 622,971 : x
  2. Step 2: Convert to fraction form
    416,502/622,971 = 622,971/x
  3. Step 3: Cross multiply
    416,502x = 622,971 × 622,971
  4. Step 4: Simplify right side
    416,502x = 388,092,866,841
  5. Step 5: Solve for x
    x = 388,092,866,841/416,502
  6. Step 6: Final answer
    x = 931,791.12

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