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Finding the Third Proportional to 203,938 and 441,475

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Solution

The third proportional to 203,938 and 441,475 is: 955,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,938 : 441,475 = 441,475 : x
  2. Step 2: Convert to fraction form
    203,938/441,475 = 441,475/x
  3. Step 3: Cross multiply
    203,938x = 441,475 × 441,475
  4. Step 4: Simplify right side
    203,938x = 194,900,175,625
  5. Step 5: Solve for x
    x = 194,900,175,625/203,938
  6. Step 6: Final answer
    x = 955,683.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.