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Finding the Third Proportional to 271,313 and 587,824

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Solution

The third proportional to 271,313 and 587,824 is: 1,273,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,313 : 587,824 = 587,824 : x
  2. Step 2: Convert to fraction form
    271,313/587,824 = 587,824/x
  3. Step 3: Cross multiply
    271,313x = 587,824 × 587,824
  4. Step 4: Simplify right side
    271,313x = 345,537,054,976
  5. Step 5: Solve for x
    x = 345,537,054,976/271,313
  6. Step 6: Final answer
    x = 1,273,573.53

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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.