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Finding the Third Proportional to 303.05 and 627.05

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Solution

The third proportional to 303.05 and 627.05 is: 1,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.05 : 627.05 = 627.05 : x
  2. Step 2: Convert to fraction form
    303.05/627.05 = 627.05/x
  3. Step 3: Cross multiply
    303.05x = 627.05 × 627.05
  4. Step 4: Simplify right side
    303.05x = 393,187.78
  5. Step 5: Solve for x
    x = 393,187.78/303.05
  6. Step 6: Final answer
    x = 1,297.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.