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Finding the Third Proportional to 311,706 and 681,732

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Solution

The third proportional to 311,706 and 681,732 is: 1,491,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,706 : 681,732 = 681,732 : x
  2. Step 2: Convert to fraction form
    311,706/681,732 = 681,732/x
  3. Step 3: Cross multiply
    311,706x = 681,732 × 681,732
  4. Step 4: Simplify right side
    311,706x = 464,758,519,824
  5. Step 5: Solve for x
    x = 464,758,519,824/311,706
  6. Step 6: Final answer
    x = 1,491,015.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.