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Finding the Third Proportional to 203,486 and 441,987

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Solution

The third proportional to 203,486 and 441,987 is: 960,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,486 : 441,987 = 441,987 : x
  2. Step 2: Convert to fraction form
    203,486/441,987 = 441,987/x
  3. Step 3: Cross multiply
    203,486x = 441,987 × 441,987
  4. Step 4: Simplify right side
    203,486x = 195,352,508,169
  5. Step 5: Solve for x
    x = 195,352,508,169/203,486
  6. Step 6: Final answer
    x = 960,029.23

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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.