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Finding the Third Proportional to 271,197 and 589,962

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Solution

The third proportional to 271,197 and 589,962 is: 1,283,403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,197 : 589,962 = 589,962 : x
  2. Step 2: Convert to fraction form
    271,197/589,962 = 589,962/x
  3. Step 3: Cross multiply
    271,197x = 589,962 × 589,962
  4. Step 4: Simplify right side
    271,197x = 348,055,161,444
  5. Step 5: Solve for x
    x = 348,055,161,444/271,197
  6. Step 6: Final answer
    x = 1,283,403.44

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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.