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Finding the Third Proportional to 204,240 and 441,276

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Solution

The third proportional to 204,240 and 441,276 is: 953,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,240 : 441,276 = 441,276 : x
  2. Step 2: Convert to fraction form
    204,240/441,276 = 441,276/x
  3. Step 3: Cross multiply
    204,240x = 441,276 × 441,276
  4. Step 4: Simplify right side
    204,240x = 194,724,508,176
  5. Step 5: Solve for x
    x = 194,724,508,176/204,240
  6. Step 6: Final answer
    x = 953,410.24

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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.