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Finding the Third Proportional to 364,584 and 800,880

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Solution

The third proportional to 364,584 and 800,880 is: 1,759,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,584 : 800,880 = 800,880 : x
  2. Step 2: Convert to fraction form
    364,584/800,880 = 800,880/x
  3. Step 3: Cross multiply
    364,584x = 800,880 × 800,880
  4. Step 4: Simplify right side
    364,584x = 641,408,774,400
  5. Step 5: Solve for x
    x = 641,408,774,400/364,584
  6. Step 6: Final answer
    x = 1,759,289.42

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