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Finding the Third Proportional to 236,802 and 520,260

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Solution

The third proportional to 236,802 and 520,260 is: 1,143,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,802 : 520,260 = 520,260 : x
  2. Step 2: Convert to fraction form
    236,802/520,260 = 520,260/x
  3. Step 3: Cross multiply
    236,802x = 520,260 × 520,260
  4. Step 4: Simplify right side
    236,802x = 270,670,467,600
  5. Step 5: Solve for x
    x = 270,670,467,600/236,802
  6. Step 6: Final answer
    x = 1,143,024.42

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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.