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Finding the Third Proportional to 204,577 and 444,564

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Solution

The third proportional to 204,577 and 444,564 is: 966,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,577 : 444,564 = 444,564 : x
  2. Step 2: Convert to fraction form
    204,577/444,564 = 444,564/x
  3. Step 3: Cross multiply
    204,577x = 444,564 × 444,564
  4. Step 4: Simplify right side
    204,577x = 197,637,150,096
  5. Step 5: Solve for x
    x = 197,637,150,096/204,577
  6. Step 6: Final answer
    x = 966,077.08

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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.