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Finding the Third Proportional to 204,330 and 433,232

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Solution

The third proportional to 204,330 and 433,232 is: 918,562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,330 : 433,232 = 433,232 : x
  2. Step 2: Convert to fraction form
    204,330/433,232 = 433,232/x
  3. Step 3: Cross multiply
    204,330x = 433,232 × 433,232
  4. Step 4: Simplify right side
    204,330x = 187,689,965,824
  5. Step 5: Solve for x
    x = 187,689,965,824/204,330
  6. Step 6: Final answer
    x = 918,562.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.