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Finding the Third Proportional to 214,474 and 464,252

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Solution

The third proportional to 214,474 and 464,252 is: 1,004,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,474 : 464,252 = 464,252 : x
  2. Step 2: Convert to fraction form
    214,474/464,252 = 464,252/x
  3. Step 3: Cross multiply
    214,474x = 464,252 × 464,252
  4. Step 4: Simplify right side
    214,474x = 215,529,919,504
  5. Step 5: Solve for x
    x = 215,529,919,504/214,474
  6. Step 6: Final answer
    x = 1,004,923.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.