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Finding the Third Proportional to 541,452 and 796,482

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Solution

The third proportional to 541,452 and 796,482 is: 1,171,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,452 : 796,482 = 796,482 : x
  2. Step 2: Convert to fraction form
    541,452/796,482 = 796,482/x
  3. Step 3: Cross multiply
    541,452x = 796,482 × 796,482
  4. Step 4: Simplify right side
    541,452x = 634,383,576,324
  5. Step 5: Solve for x
    x = 634,383,576,324/541,452
  6. Step 6: Final answer
    x = 1,171,634.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.