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Finding the Third Proportional to 502.75 and 1,208.75

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Solution

The third proportional to 502.75 and 1,208.75 is: 2,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.75 : 1,208.75 = 1,208.75 : x
  2. Step 2: Convert to fraction form
    502.75/1,208.75 = 1,208.75/x
  3. Step 3: Cross multiply
    502.75x = 1,208.75 × 1,208.75
  4. Step 4: Simplify right side
    502.75x = 1,461,076.56
  5. Step 5: Solve for x
    x = 1,461,076.56/502.75
  6. Step 6: Final answer
    x = 2,906.17

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.