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Finding the Third Proportional to 271,341 and 587,880

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Solution

The third proportional to 271,341 and 587,880 is: 1,273,684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,341 : 587,880 = 587,880 : x
  2. Step 2: Convert to fraction form
    271,341/587,880 = 587,880/x
  3. Step 3: Cross multiply
    271,341x = 587,880 × 587,880
  4. Step 4: Simplify right side
    271,341x = 345,602,894,400
  5. Step 5: Solve for x
    x = 345,602,894,400/271,341
  6. Step 6: Final answer
    x = 1,273,684.75

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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.