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Finding the Third Proportional to 318,326 and 496,860

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Solution

The third proportional to 318,326 and 496,860 is: 775,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,326 : 496,860 = 496,860 : x
  2. Step 2: Convert to fraction form
    318,326/496,860 = 496,860/x
  3. Step 3: Cross multiply
    318,326x = 496,860 × 496,860
  4. Step 4: Simplify right side
    318,326x = 246,869,859,600
  5. Step 5: Solve for x
    x = 246,869,859,600/318,326
  6. Step 6: Final answer
    x = 775,525.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.