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Finding the Third Proportional to 533,450 and 1,158,482

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Solution

The third proportional to 533,450 and 1,158,482 is: 2,515,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,450 : 1,158,482 = 1,158,482 : x
  2. Step 2: Convert to fraction form
    533,450/1,158,482 = 1,158,482/x
  3. Step 3: Cross multiply
    533,450x = 1,158,482 × 1,158,482
  4. Step 4: Simplify right side
    533,450x = 1,342,080,544,324
  5. Step 5: Solve for x
    x = 1,342,080,544,324/533,450
  6. Step 6: Final answer
    x = 2,515,850.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.