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Finding the Third Proportional to 290,823 and 627,474

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Solution

The third proportional to 290,823 and 627,474 is: 1,353,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,823 : 627,474 = 627,474 : x
  2. Step 2: Convert to fraction form
    290,823/627,474 = 627,474/x
  3. Step 3: Cross multiply
    290,823x = 627,474 × 627,474
  4. Step 4: Simplify right side
    290,823x = 393,723,620,676
  5. Step 5: Solve for x
    x = 393,723,620,676/290,823
  6. Step 6: Final answer
    x = 1,353,825.59

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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.