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Finding the Third Proportional to 203,697 and 443,826

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Solution

The third proportional to 203,697 and 443,826 is: 967,032.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,697 : 443,826 = 443,826 : x
  2. Step 2: Convert to fraction form
    203,697/443,826 = 443,826/x
  3. Step 3: Cross multiply
    203,697x = 443,826 × 443,826
  4. Step 4: Simplify right side
    203,697x = 196,981,518,276
  5. Step 5: Solve for x
    x = 196,981,518,276/203,697
  6. Step 6: Final answer
    x = 967,032.00

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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.