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Finding the Third Proportional to 236,764 and 520,184

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Solution

The third proportional to 236,764 and 520,184 is: 1,142,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,764 : 520,184 = 520,184 : x
  2. Step 2: Convert to fraction form
    236,764/520,184 = 520,184/x
  3. Step 3: Cross multiply
    236,764x = 520,184 × 520,184
  4. Step 4: Simplify right side
    236,764x = 270,591,393,856
  5. Step 5: Solve for x
    x = 270,591,393,856/236,764
  6. Step 6: Final answer
    x = 1,142,873.89

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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.