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Finding the Third Proportional to 201,526 and 439,892

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Solution

The third proportional to 201,526 and 439,892 is: 960,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,526 : 439,892 = 439,892 : x
  2. Step 2: Convert to fraction form
    201,526/439,892 = 439,892/x
  3. Step 3: Cross multiply
    201,526x = 439,892 × 439,892
  4. Step 4: Simplify right side
    201,526x = 193,504,971,664
  5. Step 5: Solve for x
    x = 193,504,971,664/201,526
  6. Step 6: Final answer
    x = 960,198.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.