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Finding the Third Proportional to 201,909 and 437,257

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Solution

The third proportional to 201,909 and 437,257 is: 946,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,909 : 437,257 = 437,257 : x
  2. Step 2: Convert to fraction form
    201,909/437,257 = 437,257/x
  3. Step 3: Cross multiply
    201,909x = 437,257 × 437,257
  4. Step 4: Simplify right side
    201,909x = 191,193,684,049
  5. Step 5: Solve for x
    x = 191,193,684,049/201,909
  6. Step 6: Final answer
    x = 946,929.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.