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Finding the Third Proportional to 398,620 and 582,582

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Solution

The third proportional to 398,620 and 582,582 is: 851,441.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,620 : 582,582 = 582,582 : x
  2. Step 2: Convert to fraction form
    398,620/582,582 = 582,582/x
  3. Step 3: Cross multiply
    398,620x = 582,582 × 582,582
  4. Step 4: Simplify right side
    398,620x = 339,401,786,724
  5. Step 5: Solve for x
    x = 339,401,786,724/398,620
  6. Step 6: Final answer
    x = 851,441.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.