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Finding the Third Proportional to 237,551 and 494,756

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Solution

The third proportional to 237,551 and 494,756 is: 1,030,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,551 : 494,756 = 494,756 : x
  2. Step 2: Convert to fraction form
    237,551/494,756 = 494,756/x
  3. Step 3: Cross multiply
    237,551x = 494,756 × 494,756
  4. Step 4: Simplify right side
    237,551x = 244,783,499,536
  5. Step 5: Solve for x
    x = 244,783,499,536/237,551
  6. Step 6: Final answer
    x = 1,030,446.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.