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Finding the Third Proportional to 552,083 and 836,408

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Solution

The third proportional to 552,083 and 836,408 is: 1,267,161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,083 : 836,408 = 836,408 : x
  2. Step 2: Convert to fraction form
    552,083/836,408 = 836,408/x
  3. Step 3: Cross multiply
    552,083x = 836,408 × 836,408
  4. Step 4: Simplify right side
    552,083x = 699,578,342,464
  5. Step 5: Solve for x
    x = 699,578,342,464/552,083
  6. Step 6: Final answer
    x = 1,267,161.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.