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Finding the Third Proportional to 327,124 and 705,806

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Solution

The third proportional to 327,124 and 705,806 is: 1,522,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,124 : 705,806 = 705,806 : x
  2. Step 2: Convert to fraction form
    327,124/705,806 = 705,806/x
  3. Step 3: Cross multiply
    327,124x = 705,806 × 705,806
  4. Step 4: Simplify right side
    327,124x = 498,162,109,636
  5. Step 5: Solve for x
    x = 498,162,109,636/327,124
  6. Step 6: Final answer
    x = 1,522,854.05

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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.