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Finding the Third Proportional to 201,699 and 442,757

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Solution

The third proportional to 201,699 and 442,757 is: 971,912.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,699 : 442,757 = 442,757 : x
  2. Step 2: Convert to fraction form
    201,699/442,757 = 442,757/x
  3. Step 3: Cross multiply
    201,699x = 442,757 × 442,757
  4. Step 4: Simplify right side
    201,699x = 196,033,761,049
  5. Step 5: Solve for x
    x = 196,033,761,049/201,699
  6. Step 6: Final answer
    x = 971,912.41

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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.