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Finding the Third Proportional to 383,760 and 613,080

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Solution

The third proportional to 383,760 and 613,080 is: 979,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,760 : 613,080 = 613,080 : x
  2. Step 2: Convert to fraction form
    383,760/613,080 = 613,080/x
  3. Step 3: Cross multiply
    383,760x = 613,080 × 613,080
  4. Step 4: Simplify right side
    383,760x = 375,867,086,400
  5. Step 5: Solve for x
    x = 375,867,086,400/383,760
  6. Step 6: Final answer
    x = 979,432.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.