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Finding the Third Proportional to 577.44 and 1,176.08

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Solution

The third proportional to 577.44 and 1,176.08 is: 2,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.44 : 1,176.08 = 1,176.08 : x
  2. Step 2: Convert to fraction form
    577.44/1,176.08 = 1,176.08/x
  3. Step 3: Cross multiply
    577.44x = 1,176.08 × 1,176.08
  4. Step 4: Simplify right side
    577.44x = 1,383,168.94
  5. Step 5: Solve for x
    x = 1,383,168.94/577.44
  6. Step 6: Final answer
    x = 2,395.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.