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Finding the Third Proportional to 704.15 and 1,104.56

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Solution

The third proportional to 704.15 and 1,104.56 is: 1,732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.15 : 1,104.56 = 1,104.56 : x
  2. Step 2: Convert to fraction form
    704.15/1,104.56 = 1,104.56/x
  3. Step 3: Cross multiply
    704.15x = 1,104.56 × 1,104.56
  4. Step 4: Simplify right side
    704.15x = 1,220,055.08
  5. Step 5: Solve for x
    x = 1,220,055.08/704.15
  6. Step 6: Final answer
    x = 1,732.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.