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Finding the Third Proportional to 311,814 and 673,524

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Solution

The third proportional to 311,814 and 673,524 is: 1,454,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,814 : 673,524 = 673,524 : x
  2. Step 2: Convert to fraction form
    311,814/673,524 = 673,524/x
  3. Step 3: Cross multiply
    311,814x = 673,524 × 673,524
  4. Step 4: Simplify right side
    311,814x = 453,634,578,576
  5. Step 5: Solve for x
    x = 453,634,578,576/311,814
  6. Step 6: Final answer
    x = 1,454,824.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.