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Finding the Third Proportional to 318,944.25 and 683,680.50

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Solution

The third proportional to 318,944.25 and 683,680.50 is: 1,465,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,944.25 : 683,680.50 = 683,680.50 : x
  2. Step 2: Convert to fraction form
    318,944.25/683,680.50 = 683,680.50/x
  3. Step 3: Cross multiply
    318,944.25x = 683,680.50 × 683,680.50
  4. Step 4: Simplify right side
    318,944.25x = 467,419,026,080.25
  5. Step 5: Solve for x
    x = 467,419,026,080.25/318,944.25
  6. Step 6: Final answer
    x = 1,465,519.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.