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Finding the Third Proportional to 360,558 and 522,234

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Solution

The third proportional to 360,558 and 522,234 is: 756,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,558 : 522,234 = 522,234 : x
  2. Step 2: Convert to fraction form
    360,558/522,234 = 522,234/x
  3. Step 3: Cross multiply
    360,558x = 522,234 × 522,234
  4. Step 4: Simplify right side
    360,558x = 272,728,350,756
  5. Step 5: Solve for x
    x = 272,728,350,756/360,558
  6. Step 6: Final answer
    x = 756,406.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.