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Finding the Third Proportional to 622.37 and 1,466.07

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Solution

The third proportional to 622.37 and 1,466.07 is: 3,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.37 : 1,466.07 = 1,466.07 : x
  2. Step 2: Convert to fraction form
    622.37/1,466.07 = 1,466.07/x
  3. Step 3: Cross multiply
    622.37x = 1,466.07 × 1,466.07
  4. Step 4: Simplify right side
    622.37x = 2,149,356.43
  5. Step 5: Solve for x
    x = 2,149,356.43/622.37
  6. Step 6: Final answer
    x = 3,453.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.