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Finding the Third Proportional to 206,576 and 437,956

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Solution

The third proportional to 206,576 and 437,956 is: 928,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,576 : 437,956 = 437,956 : x
  2. Step 2: Convert to fraction form
    206,576/437,956 = 437,956/x
  3. Step 3: Cross multiply
    206,576x = 437,956 × 437,956
  4. Step 4: Simplify right side
    206,576x = 191,805,457,936
  5. Step 5: Solve for x
    x = 191,805,457,936/206,576
  6. Step 6: Final answer
    x = 928,498.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.