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Finding the Third Proportional to 327,172 and 705,896

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Solution

The third proportional to 327,172 and 705,896 is: 1,523,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,172 : 705,896 = 705,896 : x
  2. Step 2: Convert to fraction form
    327,172/705,896 = 705,896/x
  3. Step 3: Cross multiply
    327,172x = 705,896 × 705,896
  4. Step 4: Simplify right side
    327,172x = 498,289,162,816
  5. Step 5: Solve for x
    x = 498,289,162,816/327,172
  6. Step 6: Final answer
    x = 1,523,018.97

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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.