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Finding the Third Proportional to 271,686 and 590,028

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Solution

The third proportional to 271,686 and 590,028 is: 1,281,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,686 : 590,028 = 590,028 : x
  2. Step 2: Convert to fraction form
    271,686/590,028 = 590,028/x
  3. Step 3: Cross multiply
    271,686x = 590,028 × 590,028
  4. Step 4: Simplify right side
    271,686x = 348,133,040,784
  5. Step 5: Solve for x
    x = 348,133,040,784/271,686
  6. Step 6: Final answer
    x = 1,281,380.13

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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.