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Finding the Third Proportional to 327,018 and 462,765

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Solution

The third proportional to 327,018 and 462,765 is: 654,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,018 : 462,765 = 462,765 : x
  2. Step 2: Convert to fraction form
    327,018/462,765 = 462,765/x
  3. Step 3: Cross multiply
    327,018x = 462,765 × 462,765
  4. Step 4: Simplify right side
    327,018x = 214,151,445,225
  5. Step 5: Solve for x
    x = 214,151,445,225/327,018
  6. Step 6: Final answer
    x = 654,861.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.