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Finding the Third Proportional to 200,738 and 441,399

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Solution

The third proportional to 200,738 and 441,399 is: 970,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,738 : 441,399 = 441,399 : x
  2. Step 2: Convert to fraction form
    200,738/441,399 = 441,399/x
  3. Step 3: Cross multiply
    200,738x = 441,399 × 441,399
  4. Step 4: Simplify right side
    200,738x = 194,833,077,201
  5. Step 5: Solve for x
    x = 194,833,077,201/200,738
  6. Step 6: Final answer
    x = 970,583.93

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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.