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Finding the Third Proportional to 327,184 and 705,916

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Solution

The third proportional to 327,184 and 705,916 is: 1,523,049.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,184 : 705,916 = 705,916 : x
  2. Step 2: Convert to fraction form
    327,184/705,916 = 705,916/x
  3. Step 3: Cross multiply
    327,184x = 705,916 × 705,916
  4. Step 4: Simplify right side
    327,184x = 498,317,399,056
  5. Step 5: Solve for x
    x = 498,317,399,056/327,184
  6. Step 6: Final answer
    x = 1,523,049.41

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Why These Related Problems?

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