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Finding the Third Proportional to 277.31 and 606.38

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Solution

The third proportional to 277.31 and 606.38 is: 1,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.31 : 606.38 = 606.38 : x
  2. Step 2: Convert to fraction form
    277.31/606.38 = 606.38/x
  3. Step 3: Cross multiply
    277.31x = 606.38 × 606.38
  4. Step 4: Simplify right side
    277.31x = 367,690.64
  5. Step 5: Solve for x
    x = 367,690.64/277.31
  6. Step 6: Final answer
    x = 1,325.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.