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Finding the Third Proportional to 236,775 and 520,206

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Solution

The third proportional to 236,775 and 520,206 is: 1,142,917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,775 : 520,206 = 520,206 : x
  2. Step 2: Convert to fraction form
    236,775/520,206 = 520,206/x
  3. Step 3: Cross multiply
    236,775x = 520,206 × 520,206
  4. Step 4: Simplify right side
    236,775x = 270,614,282,436
  5. Step 5: Solve for x
    x = 270,614,282,436/236,775
  6. Step 6: Final answer
    x = 1,142,917.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.