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Finding the Third Proportional to 203,503 and 442,019

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Solution

The third proportional to 203,503 and 442,019 is: 960,088.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,503 : 442,019 = 442,019 : x
  2. Step 2: Convert to fraction form
    203,503/442,019 = 442,019/x
  3. Step 3: Cross multiply
    203,503x = 442,019 × 442,019
  4. Step 4: Simplify right side
    203,503x = 195,380,796,361
  5. Step 5: Solve for x
    x = 195,380,796,361/203,503
  6. Step 6: Final answer
    x = 960,088.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.