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Finding the Third Proportional to 205,239 and 450,936

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Solution

The third proportional to 205,239 and 450,936 is: 990,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,239 : 450,936 = 450,936 : x
  2. Step 2: Convert to fraction form
    205,239/450,936 = 450,936/x
  3. Step 3: Cross multiply
    205,239x = 450,936 × 450,936
  4. Step 4: Simplify right side
    205,239x = 203,343,276,096
  5. Step 5: Solve for x
    x = 203,343,276,096/205,239
  6. Step 6: Final answer
    x = 990,763.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.