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Finding the Third Proportional to 704.44 and 1,025.72

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Solution

The third proportional to 704.44 and 1,025.72 is: 1,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.44 : 1,025.72 = 1,025.72 : x
  2. Step 2: Convert to fraction form
    704.44/1,025.72 = 1,025.72/x
  3. Step 3: Cross multiply
    704.44x = 1,025.72 × 1,025.72
  4. Step 4: Simplify right side
    704.44x = 1,052,098.95
  5. Step 5: Solve for x
    x = 1,052,098.95/704.44
  6. Step 6: Final answer
    x = 1,493.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.