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Finding the Third Proportional to 362,296 and 790,416

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Solution

The third proportional to 362,296 and 790,416 is: 1,724,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,296 : 790,416 = 790,416 : x
  2. Step 2: Convert to fraction form
    362,296/790,416 = 790,416/x
  3. Step 3: Cross multiply
    362,296x = 790,416 × 790,416
  4. Step 4: Simplify right side
    362,296x = 624,757,453,056
  5. Step 5: Solve for x
    x = 624,757,453,056/362,296
  6. Step 6: Final answer
    x = 1,724,439.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.