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Finding the Third Proportional to 602.44 and 1,187.72

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Solution

The third proportional to 602.44 and 1,187.72 is: 2,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.44 : 1,187.72 = 1,187.72 : x
  2. Step 2: Convert to fraction form
    602.44/1,187.72 = 1,187.72/x
  3. Step 3: Cross multiply
    602.44x = 1,187.72 × 1,187.72
  4. Step 4: Simplify right side
    602.44x = 1,410,675.83
  5. Step 5: Solve for x
    x = 1,410,675.83/602.44
  6. Step 6: Final answer
    x = 2,341.61

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.