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Finding the Third Proportional to 311,592 and 466,860

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Solution

The third proportional to 311,592 and 466,860 is: 699,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,592 : 466,860 = 466,860 : x
  2. Step 2: Convert to fraction form
    311,592/466,860 = 466,860/x
  3. Step 3: Cross multiply
    311,592x = 466,860 × 466,860
  4. Step 4: Simplify right side
    311,592x = 217,958,259,600
  5. Step 5: Solve for x
    x = 217,958,259,600/311,592
  6. Step 6: Final answer
    x = 699,498.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.