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Finding the Third Proportional to 209,832 and 453,168

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Solution

The third proportional to 209,832 and 453,168 is: 978,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,832 : 453,168 = 453,168 : x
  2. Step 2: Convert to fraction form
    209,832/453,168 = 453,168/x
  3. Step 3: Cross multiply
    209,832x = 453,168 × 453,168
  4. Step 4: Simplify right side
    209,832x = 205,361,236,224
  5. Step 5: Solve for x
    x = 205,361,236,224/209,832
  6. Step 6: Final answer
    x = 978,693.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.