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Finding the Third Proportional to 203,459 and 441,943

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Solution

The third proportional to 203,459 and 441,943 is: 959,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,459 : 441,943 = 441,943 : x
  2. Step 2: Convert to fraction form
    203,459/441,943 = 441,943/x
  3. Step 3: Cross multiply
    203,459x = 441,943 × 441,943
  4. Step 4: Simplify right side
    203,459x = 195,313,615,249
  5. Step 5: Solve for x
    x = 195,313,615,249/203,459
  6. Step 6: Final answer
    x = 959,965.47

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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.