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Finding the Third Proportional to 413,627 and 622,903

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Solution

The third proportional to 413,627 and 622,903 is: 938,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,627 : 622,903 = 622,903 : x
  2. Step 2: Convert to fraction form
    413,627/622,903 = 622,903/x
  3. Step 3: Cross multiply
    413,627x = 622,903 × 622,903
  4. Step 4: Simplify right side
    413,627x = 388,008,147,409
  5. Step 5: Solve for x
    x = 388,008,147,409/413,627
  6. Step 6: Final answer
    x = 938,062.91

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Why These Related Problems?

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