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Finding the Third Proportional to 201,517 and 439,964

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Solution

The third proportional to 201,517 and 439,964 is: 960,555.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,517 : 439,964 = 439,964 : x
  2. Step 2: Convert to fraction form
    201,517/439,964 = 439,964/x
  3. Step 3: Cross multiply
    201,517x = 439,964 × 439,964
  4. Step 4: Simplify right side
    201,517x = 193,568,321,296
  5. Step 5: Solve for x
    x = 193,568,321,296/201,517
  6. Step 6: Final answer
    x = 960,555.79

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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.