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Finding the Third Proportional to 236,772 and 520,200

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Solution

The third proportional to 236,772 and 520,200 is: 1,142,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,772 : 520,200 = 520,200 : x
  2. Step 2: Convert to fraction form
    236,772/520,200 = 520,200/x
  3. Step 3: Cross multiply
    236,772x = 520,200 × 520,200
  4. Step 4: Simplify right side
    236,772x = 270,608,040,000
  5. Step 5: Solve for x
    x = 270,608,040,000/236,772
  6. Step 6: Final answer
    x = 1,142,905.58

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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.