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Finding the Third Proportional to 236,979 and 363,387

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Solution

The third proportional to 236,979 and 363,387 is: 557,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,979 : 363,387 = 363,387 : x
  2. Step 2: Convert to fraction form
    236,979/363,387 = 363,387/x
  3. Step 3: Cross multiply
    236,979x = 363,387 × 363,387
  4. Step 4: Simplify right side
    236,979x = 132,050,111,769
  5. Step 5: Solve for x
    x = 132,050,111,769/236,979
  6. Step 6: Final answer
    x = 557,222.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.