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Finding the Third Proportional to 272,468 and 408,793

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Solution

The third proportional to 272,468 and 408,793 is: 613,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,468 : 408,793 = 408,793 : x
  2. Step 2: Convert to fraction form
    272,468/408,793 = 408,793/x
  3. Step 3: Cross multiply
    272,468x = 408,793 × 408,793
  4. Step 4: Simplify right side
    272,468x = 167,111,716,849
  5. Step 5: Solve for x
    x = 167,111,716,849/272,468
  6. Step 6: Final answer
    x = 613,326.03

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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.