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Finding the Third Proportional to 327,016 and 506,556

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Solution

The third proportional to 327,016 and 506,556 is: 784,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,016 : 506,556 = 506,556 : x
  2. Step 2: Convert to fraction form
    327,016/506,556 = 506,556/x
  3. Step 3: Cross multiply
    327,016x = 506,556 × 506,556
  4. Step 4: Simplify right side
    327,016x = 256,598,981,136
  5. Step 5: Solve for x
    x = 256,598,981,136/327,016
  6. Step 6: Final answer
    x = 784,667.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.