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Finding the Third Proportional to 263,028 and 406,818

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Solution

The third proportional to 263,028 and 406,818 is: 629,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,028 : 406,818 = 406,818 : x
  2. Step 2: Convert to fraction form
    263,028/406,818 = 406,818/x
  3. Step 3: Cross multiply
    263,028x = 406,818 × 406,818
  4. Step 4: Simplify right side
    263,028x = 165,500,885,124
  5. Step 5: Solve for x
    x = 165,500,885,124/263,028
  6. Step 6: Final answer
    x = 629,213.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.