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Finding the Third Proportional to 201,367 and 433,591

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Solution

The third proportional to 201,367 and 433,591 is: 933,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,367 : 433,591 = 433,591 : x
  2. Step 2: Convert to fraction form
    201,367/433,591 = 433,591/x
  3. Step 3: Cross multiply
    201,367x = 433,591 × 433,591
  4. Step 4: Simplify right side
    201,367x = 188,001,155,281
  5. Step 5: Solve for x
    x = 188,001,155,281/201,367
  6. Step 6: Final answer
    x = 933,624.45

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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.