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Finding the Third Proportional to 205,452 and 448,278

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Solution

The third proportional to 205,452 and 448,278 is: 978,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,452 : 448,278 = 448,278 : x
  2. Step 2: Convert to fraction form
    205,452/448,278 = 448,278/x
  3. Step 3: Cross multiply
    205,452x = 448,278 × 448,278
  4. Step 4: Simplify right side
    205,452x = 200,953,165,284
  5. Step 5: Solve for x
    x = 200,953,165,284/205,452
  6. Step 6: Final answer
    x = 978,102.75

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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.