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Finding the Third Proportional to 204,254 and 436,564

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Solution

The third proportional to 204,254 and 436,564 is: 933,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,254 : 436,564 = 436,564 : x
  2. Step 2: Convert to fraction form
    204,254/436,564 = 436,564/x
  3. Step 3: Cross multiply
    204,254x = 436,564 × 436,564
  4. Step 4: Simplify right side
    204,254x = 190,588,126,096
  5. Step 5: Solve for x
    x = 190,588,126,096/204,254
  6. Step 6: Final answer
    x = 933,093.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.