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Finding the Third Proportional to 271,917 and 589,032

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Solution

The third proportional to 271,917 and 589,032 is: 1,275,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,917 : 589,032 = 589,032 : x
  2. Step 2: Convert to fraction form
    271,917/589,032 = 589,032/x
  3. Step 3: Cross multiply
    271,917x = 589,032 × 589,032
  4. Step 4: Simplify right side
    271,917x = 346,958,697,024
  5. Step 5: Solve for x
    x = 346,958,697,024/271,917
  6. Step 6: Final answer
    x = 1,275,972.80

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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.