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Finding the Third Proportional to 649,296 and 998,568

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Solution

The third proportional to 649,296 and 998,568 is: 1,535,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,296 : 998,568 = 998,568 : x
  2. Step 2: Convert to fraction form
    649,296/998,568 = 998,568/x
  3. Step 3: Cross multiply
    649,296x = 998,568 × 998,568
  4. Step 4: Simplify right side
    649,296x = 997,138,050,624
  5. Step 5: Solve for x
    x = 997,138,050,624/649,296
  6. Step 6: Final answer
    x = 1,535,721.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.