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Finding the Third Proportional to 262,842 and 411,777

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Solution

The third proportional to 262,842 and 411,777 is: 645,103.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,842 : 411,777 = 411,777 : x
  2. Step 2: Convert to fraction form
    262,842/411,777 = 411,777/x
  3. Step 3: Cross multiply
    262,842x = 411,777 × 411,777
  4. Step 4: Simplify right side
    262,842x = 169,560,297,729
  5. Step 5: Solve for x
    x = 169,560,297,729/262,842
  6. Step 6: Final answer
    x = 645,103.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.