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Finding the Third Proportional to 201,538 and 439,364

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Solution

The third proportional to 201,538 and 439,364 is: 957,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,538 : 439,364 = 439,364 : x
  2. Step 2: Convert to fraction form
    201,538/439,364 = 439,364/x
  3. Step 3: Cross multiply
    201,538x = 439,364 × 439,364
  4. Step 4: Simplify right side
    201,538x = 193,040,724,496
  5. Step 5: Solve for x
    x = 193,040,724,496/201,538
  6. Step 6: Final answer
    x = 957,837.85

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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.