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Finding the Third Proportional to 311,921 and 470,100

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Solution

The third proportional to 311,921 and 470,100 is: 708,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,921 : 470,100 = 470,100 : x
  2. Step 2: Convert to fraction form
    311,921/470,100 = 470,100/x
  3. Step 3: Cross multiply
    311,921x = 470,100 × 470,100
  4. Step 4: Simplify right side
    311,921x = 220,994,010,000
  5. Step 5: Solve for x
    x = 220,994,010,000/311,921
  6. Step 6: Final answer
    x = 708,493.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.