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Finding the Third Proportional to 313,099.50 and 685,275

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Solution

The third proportional to 313,099.50 and 685,275 is: 1,499,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,099.50 : 685,275 = 685,275 : x
  2. Step 2: Convert to fraction form
    313,099.50/685,275 = 685,275/x
  3. Step 3: Cross multiply
    313,099.50x = 685,275 × 685,275
  4. Step 4: Simplify right side
    313,099.50x = 469,601,825,625
  5. Step 5: Solve for x
    x = 469,601,825,625/313,099.50
  6. Step 6: Final answer
    x = 1,499,848.53

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