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Finding the Third Proportional to 227,607 and 327,852

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Solution

The third proportional to 227,607 and 327,852 is: 472,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,607 : 327,852 = 327,852 : x
  2. Step 2: Convert to fraction form
    227,607/327,852 = 327,852/x
  3. Step 3: Cross multiply
    227,607x = 327,852 × 327,852
  4. Step 4: Simplify right side
    227,607x = 107,486,933,904
  5. Step 5: Solve for x
    x = 107,486,933,904/227,607
  6. Step 6: Final answer
    x = 472,247.93

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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.