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Finding the Third Proportional to 364,410 and 800,568

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Solution

The third proportional to 364,410 and 800,568 is: 1,758,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,410 : 800,568 = 800,568 : x
  2. Step 2: Convert to fraction form
    364,410/800,568 = 800,568/x
  3. Step 3: Cross multiply
    364,410x = 800,568 × 800,568
  4. Step 4: Simplify right side
    364,410x = 640,909,122,624
  5. Step 5: Solve for x
    x = 640,909,122,624/364,410
  6. Step 6: Final answer
    x = 1,758,758.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.