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Finding the Third Proportional to 271,876 and 599,048

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Solution

The third proportional to 271,876 and 599,048 is: 1,319,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,876 : 599,048 = 599,048 : x
  2. Step 2: Convert to fraction form
    271,876/599,048 = 599,048/x
  3. Step 3: Cross multiply
    271,876x = 599,048 × 599,048
  4. Step 4: Simplify right side
    271,876x = 358,858,506,304
  5. Step 5: Solve for x
    x = 358,858,506,304/271,876
  6. Step 6: Final answer
    x = 1,319,934.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.