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Finding the Third Proportional to 201,066 and 433,023

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Solution

The third proportional to 201,066 and 433,023 is: 932,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,066 : 433,023 = 433,023 : x
  2. Step 2: Convert to fraction form
    201,066/433,023 = 433,023/x
  3. Step 3: Cross multiply
    201,066x = 433,023 × 433,023
  4. Step 4: Simplify right side
    201,066x = 187,508,918,529
  5. Step 5: Solve for x
    x = 187,508,918,529/201,066
  6. Step 6: Final answer
    x = 932,573.97

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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.