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Finding the Third Proportional to 281,408 and 599,720

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Solution

The third proportional to 281,408 and 599,720 is: 1,278,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,408 : 599,720 = 599,720 : x
  2. Step 2: Convert to fraction form
    281,408/599,720 = 599,720/x
  3. Step 3: Cross multiply
    281,408x = 599,720 × 599,720
  4. Step 4: Simplify right side
    281,408x = 359,664,078,400
  5. Step 5: Solve for x
    x = 359,664,078,400/281,408
  6. Step 6: Final answer
    x = 1,278,087.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.