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Finding the Third Proportional to 697.44 and 1,079.94

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Solution

The third proportional to 697.44 and 1,079.94 is: 1,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.44 : 1,079.94 = 1,079.94 : x
  2. Step 2: Convert to fraction form
    697.44/1,079.94 = 1,079.94/x
  3. Step 3: Cross multiply
    697.44x = 1,079.94 × 1,079.94
  4. Step 4: Simplify right side
    697.44x = 1,166,265.00
  5. Step 5: Solve for x
    x = 1,166,265.00/697.44
  6. Step 6: Final answer
    x = 1,672.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.