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Finding the Third Proportional to 236,788 and 520,232

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Solution

The third proportional to 236,788 and 520,232 is: 1,142,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,788 : 520,232 = 520,232 : x
  2. Step 2: Convert to fraction form
    236,788/520,232 = 520,232/x
  3. Step 3: Cross multiply
    236,788x = 520,232 × 520,232
  4. Step 4: Simplify right side
    236,788x = 270,641,333,824
  5. Step 5: Solve for x
    x = 270,641,333,824/236,788
  6. Step 6: Final answer
    x = 1,142,968.96

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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.