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Finding the Third Proportional to 273,841 and 408,481

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Solution

The third proportional to 273,841 and 408,481 is: 609,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,841 : 408,481 = 408,481 : x
  2. Step 2: Convert to fraction form
    273,841/408,481 = 408,481/x
  3. Step 3: Cross multiply
    273,841x = 408,481 × 408,481
  4. Step 4: Simplify right side
    273,841x = 166,856,727,361
  5. Step 5: Solve for x
    x = 166,856,727,361/273,841
  6. Step 6: Final answer
    x = 609,319.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.