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Finding the Third Proportional to 204,538 and 446,264

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Solution

The third proportional to 204,538 and 446,264 is: 973,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,538 : 446,264 = 446,264 : x
  2. Step 2: Convert to fraction form
    204,538/446,264 = 446,264/x
  3. Step 3: Cross multiply
    204,538x = 446,264 × 446,264
  4. Step 4: Simplify right side
    204,538x = 199,151,557,696
  5. Step 5: Solve for x
    x = 199,151,557,696/204,538
  6. Step 6: Final answer
    x = 973,665.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.