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Finding the Third Proportional to 325,168 and 500,434

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Solution

The third proportional to 325,168 and 500,434 is: 770,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,168 : 500,434 = 500,434 : x
  2. Step 2: Convert to fraction form
    325,168/500,434 = 500,434/x
  3. Step 3: Cross multiply
    325,168x = 500,434 × 500,434
  4. Step 4: Simplify right side
    325,168x = 250,434,188,356
  5. Step 5: Solve for x
    x = 250,434,188,356/325,168
  6. Step 6: Final answer
    x = 770,168.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.