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Finding the Third Proportional to 201,576 and 441,456

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Solution

The third proportional to 201,576 and 441,456 is: 966,798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,576 : 441,456 = 441,456 : x
  2. Step 2: Convert to fraction form
    201,576/441,456 = 441,456/x
  3. Step 3: Cross multiply
    201,576x = 441,456 × 441,456
  4. Step 4: Simplify right side
    201,576x = 194,883,399,936
  5. Step 5: Solve for x
    x = 194,883,399,936/201,576
  6. Step 6: Final answer
    x = 966,798.63

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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.