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Finding the Third Proportional to 254,760 and 382,782

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Solution

The third proportional to 254,760 and 382,782 is: 575,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,760 : 382,782 = 382,782 : x
  2. Step 2: Convert to fraction form
    254,760/382,782 = 382,782/x
  3. Step 3: Cross multiply
    254,760x = 382,782 × 382,782
  4. Step 4: Simplify right side
    254,760x = 146,522,059,524
  5. Step 5: Solve for x
    x = 146,522,059,524/254,760
  6. Step 6: Final answer
    x = 575,137.62

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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.