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Finding the Third Proportional to 204,328 and 433,228

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Solution

The third proportional to 204,328 and 433,228 is: 918,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,328 : 433,228 = 433,228 : x
  2. Step 2: Convert to fraction form
    204,328/433,228 = 433,228/x
  3. Step 3: Cross multiply
    204,328x = 433,228 × 433,228
  4. Step 4: Simplify right side
    204,328x = 187,686,499,984
  5. Step 5: Solve for x
    x = 187,686,499,984/204,328
  6. Step 6: Final answer
    x = 918,554.97

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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.