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Finding the Third Proportional to 271,922 and 592,232

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Solution

The third proportional to 271,922 and 592,232 is: 1,289,850.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,922 : 592,232 = 592,232 : x
  2. Step 2: Convert to fraction form
    271,922/592,232 = 592,232/x
  3. Step 3: Cross multiply
    271,922x = 592,232 × 592,232
  4. Step 4: Simplify right side
    271,922x = 350,738,741,824
  5. Step 5: Solve for x
    x = 350,738,741,824/271,922
  6. Step 6: Final answer
    x = 1,289,850.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.