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Finding the Third Proportional to 271,308 and 550,000

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Solution

The third proportional to 271,308 and 550,000 is: 1,114,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,308 : 550,000 = 550,000 : x
  2. Step 2: Convert to fraction form
    271,308/550,000 = 550,000/x
  3. Step 3: Cross multiply
    271,308x = 550,000 × 550,000
  4. Step 4: Simplify right side
    271,308x = 302,500,000,000
  5. Step 5: Solve for x
    x = 302,500,000,000/271,308
  6. Step 6: Final answer
    x = 1,114,968.97

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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.