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Finding the Third Proportional to 271,968 and 589,122

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Solution

The third proportional to 271,968 and 589,122 is: 1,276,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,968 : 589,122 = 589,122 : x
  2. Step 2: Convert to fraction form
    271,968/589,122 = 589,122/x
  3. Step 3: Cross multiply
    271,968x = 589,122 × 589,122
  4. Step 4: Simplify right side
    271,968x = 347,064,730,884
  5. Step 5: Solve for x
    x = 347,064,730,884/271,968
  6. Step 6: Final answer
    x = 1,276,123.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.