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Finding the Third Proportional to 556.31 and 600.56

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Solution

The third proportional to 556.31 and 600.56 is: 648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.31 : 600.56 = 600.56 : x
  2. Step 2: Convert to fraction form
    556.31/600.56 = 600.56/x
  3. Step 3: Cross multiply
    556.31x = 600.56 × 600.56
  4. Step 4: Simplify right side
    556.31x = 360,675.32
  5. Step 5: Solve for x
    x = 360,675.32/556.31
  6. Step 6: Final answer
    x = 648.33

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.