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Finding the Third Proportional to 461,962 and 691,059

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Solution

The third proportional to 461,962 and 691,059 is: 1,033,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,962 : 691,059 = 691,059 : x
  2. Step 2: Convert to fraction form
    461,962/691,059 = 691,059/x
  3. Step 3: Cross multiply
    461,962x = 691,059 × 691,059
  4. Step 4: Simplify right side
    461,962x = 477,562,541,481
  5. Step 5: Solve for x
    x = 477,562,541,481/461,962
  6. Step 6: Final answer
    x = 1,033,770.18

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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.