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Finding the Third Proportional to 311,704.50 and 673,251

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Solution

The third proportional to 311,704.50 and 673,251 is: 1,454,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,704.50 : 673,251 = 673,251 : x
  2. Step 2: Convert to fraction form
    311,704.50/673,251 = 673,251/x
  3. Step 3: Cross multiply
    311,704.50x = 673,251 × 673,251
  4. Step 4: Simplify right side
    311,704.50x = 453,266,909,001
  5. Step 5: Solve for x
    x = 453,266,909,001/311,704.50
  6. Step 6: Final answer
    x = 1,454,155.81

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Why These Related Problems?

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