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Finding the Third Proportional to 556.88 and 1,346.44

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Solution

The third proportional to 556.88 and 1,346.44 is: 3,255.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.88 : 1,346.44 = 1,346.44 : x
  2. Step 2: Convert to fraction form
    556.88/1,346.44 = 1,346.44/x
  3. Step 3: Cross multiply
    556.88x = 1,346.44 × 1,346.44
  4. Step 4: Simplify right side
    556.88x = 1,812,893.94
  5. Step 5: Solve for x
    x = 1,812,893.94/556.88
  6. Step 6: Final answer
    x = 3,255.48

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.