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Finding the Third Proportional to 271,921 and 413,639

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Solution

The third proportional to 271,921 and 413,639 is: 629,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,921 : 413,639 = 413,639 : x
  2. Step 2: Convert to fraction form
    271,921/413,639 = 413,639/x
  3. Step 3: Cross multiply
    271,921x = 413,639 × 413,639
  4. Step 4: Simplify right side
    271,921x = 171,097,222,321
  5. Step 5: Solve for x
    x = 171,097,222,321/271,921
  6. Step 6: Final answer
    x = 629,216.66

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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.