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Finding the Third Proportional to 299,632 and 641,909

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Solution

The third proportional to 299,632 and 641,909 is: 1,375,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,632 : 641,909 = 641,909 : x
  2. Step 2: Convert to fraction form
    299,632/641,909 = 641,909/x
  3. Step 3: Cross multiply
    299,632x = 641,909 × 641,909
  4. Step 4: Simplify right side
    299,632x = 412,047,164,281
  5. Step 5: Solve for x
    x = 412,047,164,281/299,632
  6. Step 6: Final answer
    x = 1,375,177.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.