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Finding the Third Proportional to 335,801 and 506,936

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Solution

The third proportional to 335,801 and 506,936 is: 765,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,801 : 506,936 = 506,936 : x
  2. Step 2: Convert to fraction form
    335,801/506,936 = 506,936/x
  3. Step 3: Cross multiply
    335,801x = 506,936 × 506,936
  4. Step 4: Simplify right side
    335,801x = 256,984,108,096
  5. Step 5: Solve for x
    x = 256,984,108,096/335,801
  6. Step 6: Final answer
    x = 765,286.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.