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Finding the Third Proportional to 264,867 and 574,885

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Solution

The third proportional to 264,867 and 574,885 is: 1,247,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,867 : 574,885 = 574,885 : x
  2. Step 2: Convert to fraction form
    264,867/574,885 = 574,885/x
  3. Step 3: Cross multiply
    264,867x = 574,885 × 574,885
  4. Step 4: Simplify right side
    264,867x = 330,492,763,225
  5. Step 5: Solve for x
    x = 330,492,763,225/264,867
  6. Step 6: Final answer
    x = 1,247,768.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.