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Finding the Third Proportional to 204,416 and 444,832

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Solution

The third proportional to 204,416 and 444,832 is: 968,004.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,416 : 444,832 = 444,832 : x
  2. Step 2: Convert to fraction form
    204,416/444,832 = 444,832/x
  3. Step 3: Cross multiply
    204,416x = 444,832 × 444,832
  4. Step 4: Simplify right side
    204,416x = 197,875,508,224
  5. Step 5: Solve for x
    x = 197,875,508,224/204,416
  6. Step 6: Final answer
    x = 968,004.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.