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Finding the Third Proportional to 556.56 and 1,201.39

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Solution

The third proportional to 556.56 and 1,201.39 is: 2,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.56 : 1,201.39 = 1,201.39 : x
  2. Step 2: Convert to fraction form
    556.56/1,201.39 = 1,201.39/x
  3. Step 3: Cross multiply
    556.56x = 1,201.39 × 1,201.39
  4. Step 4: Simplify right side
    556.56x = 1,443,348.82
  5. Step 5: Solve for x
    x = 1,443,348.82/556.56
  6. Step 6: Final answer
    x = 2,593.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.