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Finding the Third Proportional to 417 and 704.25

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Solution

The third proportional to 417 and 704.25 is: 1,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417 : 704.25 = 704.25 : x
  2. Step 2: Convert to fraction form
    417/704.25 = 704.25/x
  3. Step 3: Cross multiply
    417x = 704.25 × 704.25
  4. Step 4: Simplify right side
    417x = 495,968.06
  5. Step 5: Solve for x
    x = 495,968.06/417
  6. Step 6: Final answer
    x = 1,189.37

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.