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Finding the Third Proportional to 327,166 and 705,884

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Solution

The third proportional to 327,166 and 705,884 is: 1,522,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,166 : 705,884 = 705,884 : x
  2. Step 2: Convert to fraction form
    327,166/705,884 = 705,884/x
  3. Step 3: Cross multiply
    327,166x = 705,884 × 705,884
  4. Step 4: Simplify right side
    327,166x = 498,272,221,456
  5. Step 5: Solve for x
    x = 498,272,221,456/327,166
  6. Step 6: Final answer
    x = 1,522,995.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.