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Finding the Third Proportional to 406.13 and 558.56

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Solution

The third proportional to 406.13 and 558.56 is: 768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.13 : 558.56 = 558.56 : x
  2. Step 2: Convert to fraction form
    406.13/558.56 = 558.56/x
  3. Step 3: Cross multiply
    406.13x = 558.56 × 558.56
  4. Step 4: Simplify right side
    406.13x = 311,992.07
  5. Step 5: Solve for x
    x = 311,992.07/406.13
  6. Step 6: Final answer
    x = 768.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.