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Finding the Third Proportional to 270,204 and 405,450

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Solution

The third proportional to 270,204 and 405,450 is: 608,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,204 : 405,450 = 405,450 : x
  2. Step 2: Convert to fraction form
    270,204/405,450 = 405,450/x
  3. Step 3: Cross multiply
    270,204x = 405,450 × 405,450
  4. Step 4: Simplify right side
    270,204x = 164,389,702,500
  5. Step 5: Solve for x
    x = 164,389,702,500/270,204
  6. Step 6: Final answer
    x = 608,391.08

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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.