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Finding the Third Proportional to 201,371 and 433,599

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Solution

The third proportional to 201,371 and 433,599 is: 933,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,371 : 433,599 = 433,599 : x
  2. Step 2: Convert to fraction form
    201,371/433,599 = 433,599/x
  3. Step 3: Cross multiply
    201,371x = 433,599 × 433,599
  4. Step 4: Simplify right side
    201,371x = 188,008,092,801
  5. Step 5: Solve for x
    x = 188,008,092,801/201,371
  6. Step 6: Final answer
    x = 933,640.36

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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.