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Finding the Third Proportional to 205,346 and 449,884

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Solution

The third proportional to 205,346 and 449,884 is: 985,632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,346 : 449,884 = 449,884 : x
  2. Step 2: Convert to fraction form
    205,346/449,884 = 449,884/x
  3. Step 3: Cross multiply
    205,346x = 449,884 × 449,884
  4. Step 4: Simplify right side
    205,346x = 202,395,613,456
  5. Step 5: Solve for x
    x = 202,395,613,456/205,346
  6. Step 6: Final answer
    x = 985,632.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.