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Finding the Third Proportional to 201,398 and 438,741

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Solution

The third proportional to 201,398 and 438,741 is: 955,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,398 : 438,741 = 438,741 : x
  2. Step 2: Convert to fraction form
    201,398/438,741 = 438,741/x
  3. Step 3: Cross multiply
    201,398x = 438,741 × 438,741
  4. Step 4: Simplify right side
    201,398x = 192,493,665,081
  5. Step 5: Solve for x
    x = 192,493,665,081/201,398
  6. Step 6: Final answer
    x = 955,787.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.