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Finding the Third Proportional to 271,205.09 and 590,626.69

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Solution

The third proportional to 271,205.09 and 590,626.69 is: 1,286,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,205.09 : 590,626.69 = 590,626.69 : x
  2. Step 2: Convert to fraction form
    271,205.09/590,626.69 = 590,626.69/x
  3. Step 3: Cross multiply
    271,205.09x = 590,626.69 × 590,626.69
  4. Step 4: Simplify right side
    271,205.09x = 348,839,883,987.22
  5. Step 5: Solve for x
    x = 348,839,883,987.22/271,205.09
  6. Step 6: Final answer
    x = 1,286,258.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.