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Finding the Third Proportional to 704.85 and 1,522.76

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Solution

The third proportional to 704.85 and 1,522.76 is: 3,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.85 : 1,522.76 = 1,522.76 : x
  2. Step 2: Convert to fraction form
    704.85/1,522.76 = 1,522.76/x
  3. Step 3: Cross multiply
    704.85x = 1,522.76 × 1,522.76
  4. Step 4: Simplify right side
    704.85x = 2,318,791.36
  5. Step 5: Solve for x
    x = 2,318,791.36/704.85
  6. Step 6: Final answer
    x = 3,289.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.