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Finding the Third Proportional to 201,928 and 440,532

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Solution

The third proportional to 201,928 and 440,532 is: 961,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,928 : 440,532 = 440,532 : x
  2. Step 2: Convert to fraction form
    201,928/440,532 = 440,532/x
  3. Step 3: Cross multiply
    201,928x = 440,532 × 440,532
  4. Step 4: Simplify right side
    201,928x = 194,068,443,024
  5. Step 5: Solve for x
    x = 194,068,443,024/201,928
  6. Step 6: Final answer
    x = 961,077.43

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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.