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Finding the Third Proportional to 201,796 and 442,954

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Solution

The third proportional to 201,796 and 442,954 is: 972,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,796 : 442,954 = 442,954 : x
  2. Step 2: Convert to fraction form
    201,796/442,954 = 442,954/x
  3. Step 3: Cross multiply
    201,796x = 442,954 × 442,954
  4. Step 4: Simplify right side
    201,796x = 196,208,246,116
  5. Step 5: Solve for x
    x = 196,208,246,116/201,796
  6. Step 6: Final answer
    x = 972,309.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.