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Finding the Third Proportional to 271,922 and 413,166

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Solution

The third proportional to 271,922 and 413,166 is: 627,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,922 : 413,166 = 413,166 : x
  2. Step 2: Convert to fraction form
    271,922/413,166 = 413,166/x
  3. Step 3: Cross multiply
    271,922x = 413,166 × 413,166
  4. Step 4: Simplify right side
    271,922x = 170,706,143,556
  5. Step 5: Solve for x
    x = 170,706,143,556/271,922
  6. Step 6: Final answer
    x = 627,776.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.