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Finding the Third Proportional to 204,698.63 and 444,362.25

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Solution

The third proportional to 204,698.63 and 444,362.25 is: 964,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,698.63 : 444,362.25 = 444,362.25 : x
  2. Step 2: Convert to fraction form
    204,698.63/444,362.25 = 444,362.25/x
  3. Step 3: Cross multiply
    204,698.63x = 444,362.25 × 444,362.25
  4. Step 4: Simplify right side
    204,698.63x = 197,457,809,225.06
  5. Step 5: Solve for x
    x = 197,457,809,225.06/204,698.63
  6. Step 6: Final answer
    x = 964,626.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.