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Finding the Third Proportional to 271,963 and 589,124

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Solution

The third proportional to 271,963 and 589,124 is: 1,276,155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,963 : 589,124 = 589,124 : x
  2. Step 2: Convert to fraction form
    271,963/589,124 = 589,124/x
  3. Step 3: Cross multiply
    271,963x = 589,124 × 589,124
  4. Step 4: Simplify right side
    271,963x = 347,067,087,376
  5. Step 5: Solve for x
    x = 347,067,087,376/271,963
  6. Step 6: Final answer
    x = 1,276,155.53

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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.