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Finding the Third Proportional to 227,582 and 327,823

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Solution

The third proportional to 227,582 and 327,823 is: 472,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,582 : 327,823 = 327,823 : x
  2. Step 2: Convert to fraction form
    227,582/327,823 = 327,823/x
  3. Step 3: Cross multiply
    227,582x = 327,823 × 327,823
  4. Step 4: Simplify right side
    227,582x = 107,467,919,329
  5. Step 5: Solve for x
    x = 107,467,919,329/227,582
  6. Step 6: Final answer
    x = 472,216.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.