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Finding the Third Proportional to 533,432 and 825,420

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Solution

The third proportional to 533,432 and 825,420 is: 1,277,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,432 : 825,420 = 825,420 : x
  2. Step 2: Convert to fraction form
    533,432/825,420 = 825,420/x
  3. Step 3: Cross multiply
    533,432x = 825,420 × 825,420
  4. Step 4: Simplify right side
    533,432x = 681,318,176,400
  5. Step 5: Solve for x
    x = 681,318,176,400/533,432
  6. Step 6: Final answer
    x = 1,277,235.29

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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.