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Finding the Third Proportional to 704.79 and 1,524.92

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Solution

The third proportional to 704.79 and 1,524.92 is: 3,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.79 : 1,524.92 = 1,524.92 : x
  2. Step 2: Convert to fraction form
    704.79/1,524.92 = 1,524.92/x
  3. Step 3: Cross multiply
    704.79x = 1,524.92 × 1,524.92
  4. Step 4: Simplify right side
    704.79x = 2,325,380.77
  5. Step 5: Solve for x
    x = 2,325,380.77/704.79
  6. Step 6: Final answer
    x = 3,299.37

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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.