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Finding the Third Proportional to 201,061 and 433,012

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Solution

The third proportional to 201,061 and 433,012 is: 932,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,061 : 433,012 = 433,012 : x
  2. Step 2: Convert to fraction form
    201,061/433,012 = 433,012/x
  3. Step 3: Cross multiply
    201,061x = 433,012 × 433,012
  4. Step 4: Simplify right side
    201,061x = 187,499,392,144
  5. Step 5: Solve for x
    x = 187,499,392,144/201,061
  6. Step 6: Final answer
    x = 932,549.78

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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.