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Finding the Third Proportional to 201,032 and 441,808

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Solution

The third proportional to 201,032 and 441,808 is: 970,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,032 : 441,808 = 441,808 : x
  2. Step 2: Convert to fraction form
    201,032/441,808 = 441,808/x
  3. Step 3: Cross multiply
    201,032x = 441,808 × 441,808
  4. Step 4: Simplify right side
    201,032x = 195,194,308,864
  5. Step 5: Solve for x
    x = 195,194,308,864/201,032
  6. Step 6: Final answer
    x = 970,961.38

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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.