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Finding the Third Proportional to 338,826 and 451,708

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Solution

The third proportional to 338,826 and 451,708 is: 602,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,826 : 451,708 = 451,708 : x
  2. Step 2: Convert to fraction form
    338,826/451,708 = 451,708/x
  3. Step 3: Cross multiply
    338,826x = 451,708 × 451,708
  4. Step 4: Simplify right side
    338,826x = 204,040,117,264
  5. Step 5: Solve for x
    x = 204,040,117,264/338,826
  6. Step 6: Final answer
    x = 602,197.34

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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.