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Finding the Third Proportional to 604.08 and 1,287.28

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Solution

The third proportional to 604.08 and 1,287.28 is: 2,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.08 : 1,287.28 = 1,287.28 : x
  2. Step 2: Convert to fraction form
    604.08/1,287.28 = 1,287.28/x
  3. Step 3: Cross multiply
    604.08x = 1,287.28 × 1,287.28
  4. Step 4: Simplify right side
    604.08x = 1,657,093.02
  5. Step 5: Solve for x
    x = 1,657,093.02/604.08
  6. Step 6: Final answer
    x = 2,743.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.