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Finding the Third Proportional to 201,799 and 442,960

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Solution

The third proportional to 201,799 and 442,960 is: 972,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,799 : 442,960 = 442,960 : x
  2. Step 2: Convert to fraction form
    201,799/442,960 = 442,960/x
  3. Step 3: Cross multiply
    201,799x = 442,960 × 442,960
  4. Step 4: Simplify right side
    201,799x = 196,213,561,600
  5. Step 5: Solve for x
    x = 196,213,561,600/201,799
  6. Step 6: Final answer
    x = 972,321.77

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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.