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Finding the Third Proportional to 327,132 and 666,292

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Solution

The third proportional to 327,132 and 666,292 is: 1,357,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,132 : 666,292 = 666,292 : x
  2. Step 2: Convert to fraction form
    327,132/666,292 = 666,292/x
  3. Step 3: Cross multiply
    327,132x = 666,292 × 666,292
  4. Step 4: Simplify right side
    327,132x = 443,945,029,264
  5. Step 5: Solve for x
    x = 443,945,029,264/327,132
  6. Step 6: Final answer
    x = 1,357,082.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.