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Finding the Third Proportional to 417.75 and 477.75

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Solution

The third proportional to 417.75 and 477.75 is: 546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.75 : 477.75 = 477.75 : x
  2. Step 2: Convert to fraction form
    417.75/477.75 = 477.75/x
  3. Step 3: Cross multiply
    417.75x = 477.75 × 477.75
  4. Step 4: Simplify right side
    417.75x = 228,245.06
  5. Step 5: Solve for x
    x = 228,245.06/417.75
  6. Step 6: Final answer
    x = 546.37

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.