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Finding the Third Proportional to 205,816 and 447,714

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Solution

The third proportional to 205,816 and 447,714 is: 973,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,816 : 447,714 = 447,714 : x
  2. Step 2: Convert to fraction form
    205,816/447,714 = 447,714/x
  3. Step 3: Cross multiply
    205,816x = 447,714 × 447,714
  4. Step 4: Simplify right side
    205,816x = 200,447,825,796
  5. Step 5: Solve for x
    x = 200,447,825,796/205,816
  6. Step 6: Final answer
    x = 973,917.61

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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.