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Finding the Third Proportional to 533,713 and 825,504

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Solution

The third proportional to 533,713 and 825,504 is: 1,276,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,713 : 825,504 = 825,504 : x
  2. Step 2: Convert to fraction form
    533,713/825,504 = 825,504/x
  3. Step 3: Cross multiply
    533,713x = 825,504 × 825,504
  4. Step 4: Simplify right side
    533,713x = 681,456,854,016
  5. Step 5: Solve for x
    x = 681,456,854,016/533,713
  6. Step 6: Final answer
    x = 1,276,822.66

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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.