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Finding the Third Proportional to 395,059 and 932,213

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Solution

The third proportional to 395,059 and 932,213 is: 2,199,724.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,059 : 932,213 = 932,213 : x
  2. Step 2: Convert to fraction form
    395,059/932,213 = 932,213/x
  3. Step 3: Cross multiply
    395,059x = 932,213 × 932,213
  4. Step 4: Simplify right side
    395,059x = 869,021,077,369
  5. Step 5: Solve for x
    x = 869,021,077,369/395,059
  6. Step 6: Final answer
    x = 2,199,724.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.