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Finding the Third Proportional to 204,795 and 448,957

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Solution

The third proportional to 204,795 and 448,957 is: 984,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,795 : 448,957 = 448,957 : x
  2. Step 2: Convert to fraction form
    204,795/448,957 = 448,957/x
  3. Step 3: Cross multiply
    204,795x = 448,957 × 448,957
  4. Step 4: Simplify right side
    204,795x = 201,562,387,849
  5. Step 5: Solve for x
    x = 201,562,387,849/204,795
  6. Step 6: Final answer
    x = 984,215.38

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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.