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Finding the Third Proportional to 617.25 and 1,419.38

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Solution

The third proportional to 617.25 and 1,419.38 is: 3,263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.25 : 1,419.38 = 1,419.38 : x
  2. Step 2: Convert to fraction form
    617.25/1,419.38 = 1,419.38/x
  3. Step 3: Cross multiply
    617.25x = 1,419.38 × 1,419.38
  4. Step 4: Simplify right side
    617.25x = 2,014,625.39
  5. Step 5: Solve for x
    x = 2,014,625.39/617.25
  6. Step 6: Final answer
    x = 3,263.87

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.