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Finding the Third Proportional to 338,877 and 451,786

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Solution

The third proportional to 338,877 and 451,786 is: 602,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,877 : 451,786 = 451,786 : x
  2. Step 2: Convert to fraction form
    338,877/451,786 = 451,786/x
  3. Step 3: Cross multiply
    338,877x = 451,786 × 451,786
  4. Step 4: Simplify right side
    338,877x = 204,110,589,796
  5. Step 5: Solve for x
    x = 204,110,589,796/338,877
  6. Step 6: Final answer
    x = 602,314.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.