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Finding the Third Proportional to 201,353 and 433,563

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Solution

The third proportional to 201,353 and 433,563 is: 933,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,353 : 433,563 = 433,563 : x
  2. Step 2: Convert to fraction form
    201,353/433,563 = 433,563/x
  3. Step 3: Cross multiply
    201,353x = 433,563 × 433,563
  4. Step 4: Simplify right side
    201,353x = 187,976,874,969
  5. Step 5: Solve for x
    x = 187,976,874,969/201,353
  6. Step 6: Final answer
    x = 933,568.78

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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.