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Finding the Third Proportional to 363,613 and 793,322

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Solution

The third proportional to 363,613 and 793,322 is: 1,730,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,613 : 793,322 = 793,322 : x
  2. Step 2: Convert to fraction form
    363,613/793,322 = 793,322/x
  3. Step 3: Cross multiply
    363,613x = 793,322 × 793,322
  4. Step 4: Simplify right side
    363,613x = 629,359,795,684
  5. Step 5: Solve for x
    x = 629,359,795,684/363,613
  6. Step 6: Final answer
    x = 1,730,850.65

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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.