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Finding the Third Proportional to 327,827 and 715,234

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Solution

The third proportional to 327,827 and 715,234 is: 1,560,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,827 : 715,234 = 715,234 : x
  2. Step 2: Convert to fraction form
    327,827/715,234 = 715,234/x
  3. Step 3: Cross multiply
    327,827x = 715,234 × 715,234
  4. Step 4: Simplify right side
    327,827x = 511,559,674,756
  5. Step 5: Solve for x
    x = 511,559,674,756/327,827
  6. Step 6: Final answer
    x = 1,560,456.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.