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Finding the Third Proportional to 201,981 and 439,431

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Solution

The third proportional to 201,981 and 439,431 is: 956,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,981 : 439,431 = 439,431 : x
  2. Step 2: Convert to fraction form
    201,981/439,431 = 439,431/x
  3. Step 3: Cross multiply
    201,981x = 439,431 × 439,431
  4. Step 4: Simplify right side
    201,981x = 193,099,603,761
  5. Step 5: Solve for x
    x = 193,099,603,761/201,981
  6. Step 6: Final answer
    x = 956,028.56

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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.