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Finding the Third Proportional to 204,316 and 433,204

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Solution

The third proportional to 204,316 and 433,204 is: 918,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,316 : 433,204 = 433,204 : x
  2. Step 2: Convert to fraction form
    204,316/433,204 = 433,204/x
  3. Step 3: Cross multiply
    204,316x = 433,204 × 433,204
  4. Step 4: Simplify right side
    204,316x = 187,665,705,616
  5. Step 5: Solve for x
    x = 187,665,705,616/204,316
  6. Step 6: Final answer
    x = 918,507.14

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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.