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Finding the Third Proportional to 201,357 and 433,571

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Solution

The third proportional to 201,357 and 433,571 is: 933,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,357 : 433,571 = 433,571 : x
  2. Step 2: Convert to fraction form
    201,357/433,571 = 433,571/x
  3. Step 3: Cross multiply
    201,357x = 433,571 × 433,571
  4. Step 4: Simplify right side
    201,357x = 187,983,812,041
  5. Step 5: Solve for x
    x = 187,983,812,041/201,357
  6. Step 6: Final answer
    x = 933,584.69

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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.