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Finding the Third Proportional to 271,492 and 579,042

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Solution

The third proportional to 271,492 and 579,042 is: 1,234,989.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,492 : 579,042 = 579,042 : x
  2. Step 2: Convert to fraction form
    271,492/579,042 = 579,042/x
  3. Step 3: Cross multiply
    271,492x = 579,042 × 579,042
  4. Step 4: Simplify right side
    271,492x = 335,289,637,764
  5. Step 5: Solve for x
    x = 335,289,637,764/271,492
  6. Step 6: Final answer
    x = 1,234,989.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.