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Finding the Third Proportional to 533,495 and 948,571

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Solution

The third proportional to 533,495 and 948,571 is: 1,686,589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,495 : 948,571 = 948,571 : x
  2. Step 2: Convert to fraction form
    533,495/948,571 = 948,571/x
  3. Step 3: Cross multiply
    533,495x = 948,571 × 948,571
  4. Step 4: Simplify right side
    533,495x = 899,786,942,041
  5. Step 5: Solve for x
    x = 899,786,942,041/533,495
  6. Step 6: Final answer
    x = 1,686,589.27

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.