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Finding the Third Proportional to 272,016 and 408,024

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Solution

The third proportional to 272,016 and 408,024 is: 612,036

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,016 : 408,024 = 408,024 : x
  2. Step 2: Convert to fraction form
    272,016/408,024 = 408,024/x
  3. Step 3: Cross multiply
    272,016x = 408,024 × 408,024
  4. Step 4: Simplify right side
    272,016x = 166,483,584,576
  5. Step 5: Solve for x
    x = 166,483,584,576/272,016
  6. Step 6: Final answer
    x = 612,036

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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.