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Finding the Third Proportional to 271,347 and 550,082

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Solution

The third proportional to 271,347 and 550,082 is: 1,115,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,347 : 550,082 = 550,082 : x
  2. Step 2: Convert to fraction form
    271,347/550,082 = 550,082/x
  3. Step 3: Cross multiply
    271,347x = 550,082 × 550,082
  4. Step 4: Simplify right side
    271,347x = 302,590,206,724
  5. Step 5: Solve for x
    x = 302,590,206,724/271,347
  6. Step 6: Final answer
    x = 1,115,141.15

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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.