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Finding the Third Proportional to 271,207 and 590,631

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Solution

The third proportional to 271,207 and 590,631 is: 1,286,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,207 : 590,631 = 590,631 : x
  2. Step 2: Convert to fraction form
    271,207/590,631 = 590,631/x
  3. Step 3: Cross multiply
    271,207x = 590,631 × 590,631
  4. Step 4: Simplify right side
    271,207x = 348,844,978,161
  5. Step 5: Solve for x
    x = 348,844,978,161/271,207
  6. Step 6: Final answer
    x = 1,286,268.34

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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.