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Finding the Third Proportional to 360,504 and 522,168

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Solution

The third proportional to 360,504 and 522,168 is: 756,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,504 : 522,168 = 522,168 : x
  2. Step 2: Convert to fraction form
    360,504/522,168 = 522,168/x
  3. Step 3: Cross multiply
    360,504x = 522,168 × 522,168
  4. Step 4: Simplify right side
    360,504x = 272,659,420,224
  5. Step 5: Solve for x
    x = 272,659,420,224/360,504
  6. Step 6: Final answer
    x = 756,328.42

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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.