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Finding the Third Proportional to 271,296 and 420,576

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Solution

The third proportional to 271,296 and 420,576 is: 651,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,296 : 420,576 = 420,576 : x
  2. Step 2: Convert to fraction form
    271,296/420,576 = 420,576/x
  3. Step 3: Cross multiply
    271,296x = 420,576 × 420,576
  4. Step 4: Simplify right side
    271,296x = 176,884,171,776
  5. Step 5: Solve for x
    x = 176,884,171,776/271,296
  6. Step 6: Final answer
    x = 651,996.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.