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Finding the Third Proportional to 271,810 and 552,642

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Solution

The third proportional to 271,810 and 552,642 is: 1,123,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,810 : 552,642 = 552,642 : x
  2. Step 2: Convert to fraction form
    271,810/552,642 = 552,642/x
  3. Step 3: Cross multiply
    271,810x = 552,642 × 552,642
  4. Step 4: Simplify right side
    271,810x = 305,413,180,164
  5. Step 5: Solve for x
    x = 305,413,180,164/271,810
  6. Step 6: Final answer
    x = 1,123,627.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.