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Finding the Third Proportional to 461,992 and 691,100

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Solution

The third proportional to 461,992 and 691,100 is: 1,033,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,992 : 691,100 = 691,100 : x
  2. Step 2: Convert to fraction form
    461,992/691,100 = 691,100/x
  3. Step 3: Cross multiply
    461,992x = 691,100 × 691,100
  4. Step 4: Simplify right side
    461,992x = 477,619,210,000
  5. Step 5: Solve for x
    x = 477,619,210,000/461,992
  6. Step 6: Final answer
    x = 1,033,825.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.