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Finding the Third Proportional to 414.56 and 455.91

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Solution

The third proportional to 414.56 and 455.91 is: 501.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.56 : 455.91 = 455.91 : x
  2. Step 2: Convert to fraction form
    414.56/455.91 = 455.91/x
  3. Step 3: Cross multiply
    414.56x = 455.91 × 455.91
  4. Step 4: Simplify right side
    414.56x = 207,850.51
  5. Step 5: Solve for x
    x = 207,850.51/414.56
  6. Step 6: Final answer
    x = 501.37

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.