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Finding the Third Proportional to 533,424 and 825,408

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Solution

The third proportional to 533,424 and 825,408 is: 1,277,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,424 : 825,408 = 825,408 : x
  2. Step 2: Convert to fraction form
    533,424/825,408 = 825,408/x
  3. Step 3: Cross multiply
    533,424x = 825,408 × 825,408
  4. Step 4: Simplify right side
    533,424x = 681,298,366,464
  5. Step 5: Solve for x
    x = 681,298,366,464/533,424
  6. Step 6: Final answer
    x = 1,277,217.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.