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Finding the Third Proportional to 201,954 and 437,337

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Solution

The third proportional to 201,954 and 437,337 is: 947,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,954 : 437,337 = 437,337 : x
  2. Step 2: Convert to fraction form
    201,954/437,337 = 437,337/x
  3. Step 3: Cross multiply
    201,954x = 437,337 × 437,337
  4. Step 4: Simplify right side
    201,954x = 191,263,651,569
  5. Step 5: Solve for x
    x = 191,263,651,569/201,954
  6. Step 6: Final answer
    x = 947,065.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.