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Finding the Third Proportional to 271,322 and 582,011

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Solution

The third proportional to 271,322 and 582,011 is: 1,248,467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,322 : 582,011 = 582,011 : x
  2. Step 2: Convert to fraction form
    271,322/582,011 = 582,011/x
  3. Step 3: Cross multiply
    271,322x = 582,011 × 582,011
  4. Step 4: Simplify right side
    271,322x = 338,736,804,121
  5. Step 5: Solve for x
    x = 338,736,804,121/271,322
  6. Step 6: Final answer
    x = 1,248,467.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.