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Finding the Third Proportional to 271,824 and 576,660

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Solution

The third proportional to 271,824 and 576,660 is: 1,223,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,824 : 576,660 = 576,660 : x
  2. Step 2: Convert to fraction form
    271,824/576,660 = 576,660/x
  3. Step 3: Cross multiply
    271,824x = 576,660 × 576,660
  4. Step 4: Simplify right side
    271,824x = 332,536,755,600
  5. Step 5: Solve for x
    x = 332,536,755,600/271,824
  6. Step 6: Final answer
    x = 1,223,353.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.