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Finding the Third Proportional to 201,538 and 439,916

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Solution

The third proportional to 201,538 and 439,916 is: 960,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,538 : 439,916 = 439,916 : x
  2. Step 2: Convert to fraction form
    201,538/439,916 = 439,916/x
  3. Step 3: Cross multiply
    201,538x = 439,916 × 439,916
  4. Step 4: Simplify right side
    201,538x = 193,526,087,056
  5. Step 5: Solve for x
    x = 193,526,087,056/201,538
  6. Step 6: Final answer
    x = 960,246.14

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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.