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Finding the Third Proportional to 272,022 and 408,033

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Solution

The third proportional to 272,022 and 408,033 is: 612,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,022 : 408,033 = 408,033 : x
  2. Step 2: Convert to fraction form
    272,022/408,033 = 408,033/x
  3. Step 3: Cross multiply
    272,022x = 408,033 × 408,033
  4. Step 4: Simplify right side
    272,022x = 166,490,929,089
  5. Step 5: Solve for x
    x = 166,490,929,089/272,022
  6. Step 6: Final answer
    x = 612,049.50

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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.