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Finding the Third Proportional to 201,717 and 438,922

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Solution

The third proportional to 201,717 and 438,922 is: 955,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,717 : 438,922 = 438,922 : x
  2. Step 2: Convert to fraction form
    201,717/438,922 = 438,922/x
  3. Step 3: Cross multiply
    201,717x = 438,922 × 438,922
  4. Step 4: Simplify right side
    201,717x = 192,652,522,084
  5. Step 5: Solve for x
    x = 192,652,522,084/201,717
  6. Step 6: Final answer
    x = 955,063.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.