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Finding the Third Proportional to 271,884 and 414,984

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Solution

The third proportional to 271,884 and 414,984 is: 633,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,884 : 414,984 = 414,984 : x
  2. Step 2: Convert to fraction form
    271,884/414,984 = 414,984/x
  3. Step 3: Cross multiply
    271,884x = 414,984 × 414,984
  4. Step 4: Simplify right side
    271,884x = 172,211,720,256
  5. Step 5: Solve for x
    x = 172,211,720,256/271,884
  6. Step 6: Final answer
    x = 633,401.45

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.