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Finding the Third Proportional to 363,684 and 795,084

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Solution

The third proportional to 363,684 and 795,084 is: 1,738,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,684 : 795,084 = 795,084 : x
  2. Step 2: Convert to fraction form
    363,684/795,084 = 795,084/x
  3. Step 3: Cross multiply
    363,684x = 795,084 × 795,084
  4. Step 4: Simplify right side
    363,684x = 632,158,567,056
  5. Step 5: Solve for x
    x = 632,158,567,056/363,684
  6. Step 6: Final answer
    x = 1,738,208.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.