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Finding the Third Proportional to 271,360 and 589,408

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Solution

The third proportional to 271,360 and 589,408 is: 1,280,224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,360 : 589,408 = 589,408 : x
  2. Step 2: Convert to fraction form
    271,360/589,408 = 589,408/x
  3. Step 3: Cross multiply
    271,360x = 589,408 × 589,408
  4. Step 4: Simplify right side
    271,360x = 347,401,790,464
  5. Step 5: Solve for x
    x = 347,401,790,464/271,360
  6. Step 6: Final answer
    x = 1,280,224.76

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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.