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Finding the Third Proportional to 201,362 and 441,474

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Solution

The third proportional to 201,362 and 441,474 is: 967,905.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,362 : 441,474 = 441,474 : x
  2. Step 2: Convert to fraction form
    201,362/441,474 = 441,474/x
  3. Step 3: Cross multiply
    201,362x = 441,474 × 441,474
  4. Step 4: Simplify right side
    201,362x = 194,899,292,676
  5. Step 5: Solve for x
    x = 194,899,292,676/201,362
  6. Step 6: Final answer
    x = 967,905.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.