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Finding the Third Proportional to 277.33 and 415.28

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Solution

The third proportional to 277.33 and 415.28 is: 621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.33 : 415.28 = 415.28 : x
  2. Step 2: Convert to fraction form
    277.33/415.28 = 415.28/x
  3. Step 3: Cross multiply
    277.33x = 415.28 × 415.28
  4. Step 4: Simplify right side
    277.33x = 172,460.14
  5. Step 5: Solve for x
    x = 172,460.14/277.33
  6. Step 6: Final answer
    x = 621.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.