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Finding the Third Proportional to 272,042 and 408,064

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Solution

The third proportional to 272,042 and 408,064 is: 612,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,042 : 408,064 = 408,064 : x
  2. Step 2: Convert to fraction form
    272,042/408,064 = 408,064/x
  3. Step 3: Cross multiply
    272,042x = 408,064 × 408,064
  4. Step 4: Simplify right side
    272,042x = 166,516,228,096
  5. Step 5: Solve for x
    x = 166,516,228,096/272,042
  6. Step 6: Final answer
    x = 612,097.50

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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.