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Finding the Third Proportional to 409 and 625.75

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Solution

The third proportional to 409 and 625.75 is: 957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 625.75 = 625.75 : x
  2. Step 2: Convert to fraction form
    409/625.75 = 625.75/x
  3. Step 3: Cross multiply
    409x = 625.75 × 625.75
  4. Step 4: Simplify right side
    409x = 391,563.06
  5. Step 5: Solve for x
    x = 391,563.06/409
  6. Step 6: Final answer
    x = 957.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.