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Finding the Third Proportional to 272,004 and 408,243

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Solution

The third proportional to 272,004 and 408,243 is: 612,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,004 : 408,243 = 408,243 : x
  2. Step 2: Convert to fraction form
    272,004/408,243 = 408,243/x
  3. Step 3: Cross multiply
    272,004x = 408,243 × 408,243
  4. Step 4: Simplify right side
    272,004x = 166,662,347,049
  5. Step 5: Solve for x
    x = 166,662,347,049/272,004
  6. Step 6: Final answer
    x = 612,720.21

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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.