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Finding the Third Proportional to 363,842 and 765,387

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Solution

The third proportional to 363,842 and 765,387 is: 1,610,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,842 : 765,387 = 765,387 : x
  2. Step 2: Convert to fraction form
    363,842/765,387 = 765,387/x
  3. Step 3: Cross multiply
    363,842x = 765,387 × 765,387
  4. Step 4: Simplify right side
    363,842x = 585,817,259,769
  5. Step 5: Solve for x
    x = 585,817,259,769/363,842
  6. Step 6: Final answer
    x = 1,610,086.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.