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Finding the Third Proportional to 201,379 and 433,615

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Solution

The third proportional to 201,379 and 433,615 is: 933,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,379 : 433,615 = 433,615 : x
  2. Step 2: Convert to fraction form
    201,379/433,615 = 433,615/x
  3. Step 3: Cross multiply
    201,379x = 433,615 × 433,615
  4. Step 4: Simplify right side
    201,379x = 188,021,968,225
  5. Step 5: Solve for x
    x = 188,021,968,225/201,379
  6. Step 6: Final answer
    x = 933,672.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.