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Finding the Third Proportional to 697.81 and 1,467.44

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Solution

The third proportional to 697.81 and 1,467.44 is: 3,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.81 : 1,467.44 = 1,467.44 : x
  2. Step 2: Convert to fraction form
    697.81/1,467.44 = 1,467.44/x
  3. Step 3: Cross multiply
    697.81x = 1,467.44 × 1,467.44
  4. Step 4: Simplify right side
    697.81x = 2,153,372.82
  5. Step 5: Solve for x
    x = 2,153,372.82/697.81
  6. Step 6: Final answer
    x = 3,085.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.