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Finding the Third Proportional to 267,296 and 556,706

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Solution

The third proportional to 267,296 and 556,706 is: 1,159,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,296 : 556,706 = 556,706 : x
  2. Step 2: Convert to fraction form
    267,296/556,706 = 556,706/x
  3. Step 3: Cross multiply
    267,296x = 556,706 × 556,706
  4. Step 4: Simplify right side
    267,296x = 309,921,570,436
  5. Step 5: Solve for x
    x = 309,921,570,436/267,296
  6. Step 6: Final answer
    x = 1,159,469.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.