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Finding the Third Proportional to 271,485 and 413,064

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Solution

The third proportional to 271,485 and 413,064 is: 628,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,485 : 413,064 = 413,064 : x
  2. Step 2: Convert to fraction form
    271,485/413,064 = 413,064/x
  3. Step 3: Cross multiply
    271,485x = 413,064 × 413,064
  4. Step 4: Simplify right side
    271,485x = 170,621,868,096
  5. Step 5: Solve for x
    x = 170,621,868,096/271,485
  6. Step 6: Final answer
    x = 628,476.23

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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.