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Finding the Third Proportional to 267,408 and 352,026

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Solution

The third proportional to 267,408 and 352,026 is: 463,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,408 : 352,026 = 352,026 : x
  2. Step 2: Convert to fraction form
    267,408/352,026 = 352,026/x
  3. Step 3: Cross multiply
    267,408x = 352,026 × 352,026
  4. Step 4: Simplify right side
    267,408x = 123,922,304,676
  5. Step 5: Solve for x
    x = 123,922,304,676/267,408
  6. Step 6: Final answer
    x = 463,420.33

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.