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Finding the Third Proportional to 271,584 and 397,656

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Solution

The third proportional to 271,584 and 397,656 is: 582,251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,584 : 397,656 = 397,656 : x
  2. Step 2: Convert to fraction form
    271,584/397,656 = 397,656/x
  3. Step 3: Cross multiply
    271,584x = 397,656 × 397,656
  4. Step 4: Simplify right side
    271,584x = 158,130,294,336
  5. Step 5: Solve for x
    x = 158,130,294,336/271,584
  6. Step 6: Final answer
    x = 582,251.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.