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Finding the Third Proportional to 335,760 and 469,400

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Solution

The third proportional to 335,760 and 469,400 is: 656,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,760 : 469,400 = 469,400 : x
  2. Step 2: Convert to fraction form
    335,760/469,400 = 469,400/x
  3. Step 3: Cross multiply
    335,760x = 469,400 × 469,400
  4. Step 4: Simplify right side
    335,760x = 220,336,360,000
  5. Step 5: Solve for x
    x = 220,336,360,000/335,760
  6. Step 6: Final answer
    x = 656,231.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.