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Finding the Third Proportional to 205,568 and 448,392

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Solution

The third proportional to 205,568 and 448,392 is: 978,048.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,568 : 448,392 = 448,392 : x
  2. Step 2: Convert to fraction form
    205,568/448,392 = 448,392/x
  3. Step 3: Cross multiply
    205,568x = 448,392 × 448,392
  4. Step 4: Simplify right side
    205,568x = 201,055,385,664
  5. Step 5: Solve for x
    x = 201,055,385,664/205,568
  6. Step 6: Final answer
    x = 978,048.07

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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.