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Finding the Third Proportional to 201,436 and 433,652

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Solution

The third proportional to 201,436 and 433,652 is: 933,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,436 : 433,652 = 433,652 : x
  2. Step 2: Convert to fraction form
    201,436/433,652 = 433,652/x
  3. Step 3: Cross multiply
    201,436x = 433,652 × 433,652
  4. Step 4: Simplify right side
    201,436x = 188,054,057,104
  5. Step 5: Solve for x
    x = 188,054,057,104/201,436
  6. Step 6: Final answer
    x = 933,567.27

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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.