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Finding the Third Proportional to 204,044 and 441,331

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Solution

The third proportional to 204,044 and 441,331 is: 954,563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,044 : 441,331 = 441,331 : x
  2. Step 2: Convert to fraction form
    204,044/441,331 = 441,331/x
  3. Step 3: Cross multiply
    204,044x = 441,331 × 441,331
  4. Step 4: Simplify right side
    204,044x = 194,773,051,561
  5. Step 5: Solve for x
    x = 194,773,051,561/204,044
  6. Step 6: Final answer
    x = 954,563.97

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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.