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Finding the Third Proportional to 201,546 and 442,834

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Solution

The third proportional to 201,546 and 442,834 is: 972,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,546 : 442,834 = 442,834 : x
  2. Step 2: Convert to fraction form
    201,546/442,834 = 442,834/x
  3. Step 3: Cross multiply
    201,546x = 442,834 × 442,834
  4. Step 4: Simplify right side
    201,546x = 196,101,951,556
  5. Step 5: Solve for x
    x = 196,101,951,556/201,546
  6. Step 6: Final answer
    x = 972,988.56

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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.