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Finding the Third Proportional to 205,538 and 448,425

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Solution

The third proportional to 205,538 and 448,425 is: 978,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,538 : 448,425 = 448,425 : x
  2. Step 2: Convert to fraction form
    205,538/448,425 = 448,425/x
  3. Step 3: Cross multiply
    205,538x = 448,425 × 448,425
  4. Step 4: Simplify right side
    205,538x = 201,084,980,625
  5. Step 5: Solve for x
    x = 201,084,980,625/205,538
  6. Step 6: Final answer
    x = 978,334.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.