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Finding the Third Proportional to 201,593 and 433,071

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Solution

The third proportional to 201,593 and 433,071 is: 930,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,593 : 433,071 = 433,071 : x
  2. Step 2: Convert to fraction form
    201,593/433,071 = 433,071/x
  3. Step 3: Cross multiply
    201,593x = 433,071 × 433,071
  4. Step 4: Simplify right side
    201,593x = 187,550,491,041
  5. Step 5: Solve for x
    x = 187,550,491,041/201,593
  6. Step 6: Final answer
    x = 930,342.28

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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.