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Finding the Third Proportional to 327,825 and 715,230

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Solution

The third proportional to 327,825 and 715,230 is: 1,560,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,825 : 715,230 = 715,230 : x
  2. Step 2: Convert to fraction form
    327,825/715,230 = 715,230/x
  3. Step 3: Cross multiply
    327,825x = 715,230 × 715,230
  4. Step 4: Simplify right side
    327,825x = 511,553,952,900
  5. Step 5: Solve for x
    x = 511,553,952,900/327,825
  6. Step 6: Final answer
    x = 1,560,448.27

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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.