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Finding the Third Proportional to 413,632 and 622,910

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Solution

The third proportional to 413,632 and 622,910 is: 938,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,632 : 622,910 = 622,910 : x
  2. Step 2: Convert to fraction form
    413,632/622,910 = 622,910/x
  3. Step 3: Cross multiply
    413,632x = 622,910 × 622,910
  4. Step 4: Simplify right side
    413,632x = 388,016,868,100
  5. Step 5: Solve for x
    x = 388,016,868,100/413,632
  6. Step 6: Final answer
    x = 938,072.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.