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Finding the Third Proportional to 201,544 and 439,376

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Solution

The third proportional to 201,544 and 439,376 is: 957,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,544 : 439,376 = 439,376 : x
  2. Step 2: Convert to fraction form
    201,544/439,376 = 439,376/x
  3. Step 3: Cross multiply
    201,544x = 439,376 × 439,376
  4. Step 4: Simplify right side
    201,544x = 193,051,269,376
  5. Step 5: Solve for x
    x = 193,051,269,376/201,544
  6. Step 6: Final answer
    x = 957,861.65

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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.