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Finding the Third Proportional to 204,024 and 441,928

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Solution

The third proportional to 204,024 and 441,928 is: 957,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,024 : 441,928 = 441,928 : x
  2. Step 2: Convert to fraction form
    204,024/441,928 = 441,928/x
  3. Step 3: Cross multiply
    204,024x = 441,928 × 441,928
  4. Step 4: Simplify right side
    204,024x = 195,300,357,184
  5. Step 5: Solve for x
    x = 195,300,357,184/204,024
  6. Step 6: Final answer
    x = 957,242.08

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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.