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Finding the Third Proportional to 311,720 and 681,772

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Solution

The third proportional to 311,720 and 681,772 is: 1,491,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,720 : 681,772 = 681,772 : x
  2. Step 2: Convert to fraction form
    311,720/681,772 = 681,772/x
  3. Step 3: Cross multiply
    311,720x = 681,772 × 681,772
  4. Step 4: Simplify right side
    311,720x = 464,813,059,984
  5. Step 5: Solve for x
    x = 464,813,059,984/311,720
  6. Step 6: Final answer
    x = 1,491,123.64

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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.