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Finding the Third Proportional to 402,224 and 794,296

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Solution

The third proportional to 402,224 and 794,296 is: 1,568,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,224 : 794,296 = 794,296 : x
  2. Step 2: Convert to fraction form
    402,224/794,296 = 794,296/x
  3. Step 3: Cross multiply
    402,224x = 794,296 × 794,296
  4. Step 4: Simplify right side
    402,224x = 630,906,135,616
  5. Step 5: Solve for x
    x = 630,906,135,616/402,224
  6. Step 6: Final answer
    x = 1,568,544.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.