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Finding the Third Proportional to 201,059 and 433,007

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Solution

The third proportional to 201,059 and 433,007 is: 932,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,059 : 433,007 = 433,007 : x
  2. Step 2: Convert to fraction form
    201,059/433,007 = 433,007/x
  3. Step 3: Cross multiply
    201,059x = 433,007 × 433,007
  4. Step 4: Simplify right side
    201,059x = 187,495,062,049
  5. Step 5: Solve for x
    x = 187,495,062,049/201,059
  6. Step 6: Final answer
    x = 932,537.52

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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.