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Finding the Third Proportional to 417.25 and 906.25

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Solution

The third proportional to 417.25 and 906.25 is: 1,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.25 : 906.25 = 906.25 : x
  2. Step 2: Convert to fraction form
    417.25/906.25 = 906.25/x
  3. Step 3: Cross multiply
    417.25x = 906.25 × 906.25
  4. Step 4: Simplify right side
    417.25x = 821,289.06
  5. Step 5: Solve for x
    x = 821,289.06/417.25
  6. Step 6: Final answer
    x = 1,968.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.