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Finding the Third Proportional to 271,646 and 411,984

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Solution

The third proportional to 271,646 and 411,984 is: 624,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,646 : 411,984 = 411,984 : x
  2. Step 2: Convert to fraction form
    271,646/411,984 = 411,984/x
  3. Step 3: Cross multiply
    271,646x = 411,984 × 411,984
  4. Step 4: Simplify right side
    271,646x = 169,730,816,256
  5. Step 5: Solve for x
    x = 169,730,816,256/271,646
  6. Step 6: Final answer
    x = 624,823.54

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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.