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Finding the Third Proportional to 204,538 and 446,966

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Solution

The third proportional to 204,538 and 446,966 is: 976,731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,538 : 446,966 = 446,966 : x
  2. Step 2: Convert to fraction form
    204,538/446,966 = 446,966/x
  3. Step 3: Cross multiply
    204,538x = 446,966 × 446,966
  4. Step 4: Simplify right side
    204,538x = 199,778,605,156
  5. Step 5: Solve for x
    x = 199,778,605,156/204,538
  6. Step 6: Final answer
    x = 976,731.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.