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Finding the Third Proportional to 608.77 and 1,327.22

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Solution

The third proportional to 608.77 and 1,327.22 is: 2,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.77 : 1,327.22 = 1,327.22 : x
  2. Step 2: Convert to fraction form
    608.77/1,327.22 = 1,327.22/x
  3. Step 3: Cross multiply
    608.77x = 1,327.22 × 1,327.22
  4. Step 4: Simplify right side
    608.77x = 1,761,509.61
  5. Step 5: Solve for x
    x = 1,761,509.61/608.77
  6. Step 6: Final answer
    x = 2,893.58

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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.