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Finding the Third Proportional to 205,627 and 475,984

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Solution

The third proportional to 205,627 and 475,984 is: 1,101,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,627 : 475,984 = 475,984 : x
  2. Step 2: Convert to fraction form
    205,627/475,984 = 475,984/x
  3. Step 3: Cross multiply
    205,627x = 475,984 × 475,984
  4. Step 4: Simplify right side
    205,627x = 226,560,768,256
  5. Step 5: Solve for x
    x = 226,560,768,256/205,627
  6. Step 6: Final answer
    x = 1,101,804.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.