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Finding the Third Proportional to 352,704 and 504,168

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Solution

The third proportional to 352,704 and 504,168 is: 720,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,704 : 504,168 = 504,168 : x
  2. Step 2: Convert to fraction form
    352,704/504,168 = 504,168/x
  3. Step 3: Cross multiply
    352,704x = 504,168 × 504,168
  4. Step 4: Simplify right side
    352,704x = 254,185,372,224
  5. Step 5: Solve for x
    x = 254,185,372,224/352,704
  6. Step 6: Final answer
    x = 720,676.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.