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Finding the Third Proportional to 383,772 and 613,098

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Solution

The third proportional to 383,772 and 613,098 is: 979,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,772 : 613,098 = 613,098 : x
  2. Step 2: Convert to fraction form
    383,772/613,098 = 613,098/x
  3. Step 3: Cross multiply
    383,772x = 613,098 × 613,098
  4. Step 4: Simplify right side
    383,772x = 375,889,157,604
  5. Step 5: Solve for x
    x = 375,889,157,604/383,772
  6. Step 6: Final answer
    x = 979,459.57

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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.