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Finding the Third Proportional to 271,312 and 550,008

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Solution

The third proportional to 271,312 and 550,008 is: 1,114,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,312 : 550,008 = 550,008 : x
  2. Step 2: Convert to fraction form
    271,312/550,008 = 550,008/x
  3. Step 3: Cross multiply
    271,312x = 550,008 × 550,008
  4. Step 4: Simplify right side
    271,312x = 302,508,800,064
  5. Step 5: Solve for x
    x = 302,508,800,064/271,312
  6. Step 6: Final answer
    x = 1,114,984.96

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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.