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Finding the Third Proportional to 205,818 and 447,718

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Solution

The third proportional to 205,818 and 447,718 is: 973,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,818 : 447,718 = 447,718 : x
  2. Step 2: Convert to fraction form
    205,818/447,718 = 447,718/x
  3. Step 3: Cross multiply
    205,818x = 447,718 × 447,718
  4. Step 4: Simplify right side
    205,818x = 200,451,407,524
  5. Step 5: Solve for x
    x = 200,451,407,524/205,818
  6. Step 6: Final answer
    x = 973,925.54

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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.