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Finding the Third Proportional to 204,324 and 433,221

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Solution

The third proportional to 204,324 and 433,221 is: 918,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,324 : 433,221 = 433,221 : x
  2. Step 2: Convert to fraction form
    204,324/433,221 = 433,221/x
  3. Step 3: Cross multiply
    204,324x = 433,221 × 433,221
  4. Step 4: Simplify right side
    204,324x = 187,680,434,841
  5. Step 5: Solve for x
    x = 187,680,434,841/204,324
  6. Step 6: Final answer
    x = 918,543.27

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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.