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Finding the Third Proportional to 271,310 and 550,004

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Solution

The third proportional to 271,310 and 550,004 is: 1,114,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,310 : 550,004 = 550,004 : x
  2. Step 2: Convert to fraction form
    271,310/550,004 = 550,004/x
  3. Step 3: Cross multiply
    271,310x = 550,004 × 550,004
  4. Step 4: Simplify right side
    271,310x = 302,504,400,016
  5. Step 5: Solve for x
    x = 302,504,400,016/271,310
  6. Step 6: Final answer
    x = 1,114,976.96

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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.