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Finding the Third Proportional to 297,082 and 445,551

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Solution

The third proportional to 297,082 and 445,551 is: 668,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,082 : 445,551 = 445,551 : x
  2. Step 2: Convert to fraction form
    297,082/445,551 = 445,551/x
  3. Step 3: Cross multiply
    297,082x = 445,551 × 445,551
  4. Step 4: Simplify right side
    297,082x = 198,515,693,601
  5. Step 5: Solve for x
    x = 198,515,693,601/297,082
  6. Step 6: Final answer
    x = 668,218.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.