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Finding the Third Proportional to 654.41 and 1,424.41

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Solution

The third proportional to 654.41 and 1,424.41 is: 3,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.41 : 1,424.41 = 1,424.41 : x
  2. Step 2: Convert to fraction form
    654.41/1,424.41 = 1,424.41/x
  3. Step 3: Cross multiply
    654.41x = 1,424.41 × 1,424.41
  4. Step 4: Simplify right side
    654.41x = 2,028,933.17
  5. Step 5: Solve for x
    x = 2,028,933.17/654.41
  6. Step 6: Final answer
    x = 3,100.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.