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Finding the Third Proportional to 250,697 and 383,990

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Solution

The third proportional to 250,697 and 383,990 is: 588,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,697 : 383,990 = 383,990 : x
  2. Step 2: Convert to fraction form
    250,697/383,990 = 383,990/x
  3. Step 3: Cross multiply
    250,697x = 383,990 × 383,990
  4. Step 4: Simplify right side
    250,697x = 147,448,320,100
  5. Step 5: Solve for x
    x = 147,448,320,100/250,697
  6. Step 6: Final answer
    x = 588,153.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.