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Finding the Third Proportional to 204,755 and 442,798

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Solution

The third proportional to 204,755 and 442,798 is: 957,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,755 : 442,798 = 442,798 : x
  2. Step 2: Convert to fraction form
    204,755/442,798 = 442,798/x
  3. Step 3: Cross multiply
    204,755x = 442,798 × 442,798
  4. Step 4: Simplify right side
    204,755x = 196,070,068,804
  5. Step 5: Solve for x
    x = 196,070,068,804/204,755
  6. Step 6: Final answer
    x = 957,583.79

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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.