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Finding the Third Proportional to 533,364.75 and 810,414

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Solution

The third proportional to 533,364.75 and 810,414 is: 1,231,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,364.75 : 810,414 = 810,414 : x
  2. Step 2: Convert to fraction form
    533,364.75/810,414 = 810,414/x
  3. Step 3: Cross multiply
    533,364.75x = 810,414 × 810,414
  4. Step 4: Simplify right side
    533,364.75x = 656,770,851,396
  5. Step 5: Solve for x
    x = 656,770,851,396/533,364.75
  6. Step 6: Final answer
    x = 1,231,372.81

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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.