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Finding the Third Proportional to 608.63 and 1,327.13

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Solution

The third proportional to 608.63 and 1,327.13 is: 2,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.63 : 1,327.13 = 1,327.13 : x
  2. Step 2: Convert to fraction form
    608.63/1,327.13 = 1,327.13/x
  3. Step 3: Cross multiply
    608.63x = 1,327.13 × 1,327.13
  4. Step 4: Simplify right side
    608.63x = 1,761,260.77
  5. Step 5: Solve for x
    x = 1,761,260.77/608.63
  6. Step 6: Final answer
    x = 2,893.84

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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.