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Finding the Third Proportional to 204,651 and 417,624

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Solution

The third proportional to 204,651 and 417,624 is: 852,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,651 : 417,624 = 417,624 : x
  2. Step 2: Convert to fraction form
    204,651/417,624 = 417,624/x
  3. Step 3: Cross multiply
    204,651x = 417,624 × 417,624
  4. Step 4: Simplify right side
    204,651x = 174,409,805,376
  5. Step 5: Solve for x
    x = 174,409,805,376/204,651
  6. Step 6: Final answer
    x = 852,230.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.