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Finding the Third Proportional to 315,996.19 and 682,500.94

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Solution

The third proportional to 315,996.19 and 682,500.94 is: 1,474,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,996.19 : 682,500.94 = 682,500.94 : x
  2. Step 2: Convert to fraction form
    315,996.19/682,500.94 = 682,500.94/x
  3. Step 3: Cross multiply
    315,996.19x = 682,500.94 × 682,500.94
  4. Step 4: Simplify right side
    315,996.19x = 465,807,529,688.38
  5. Step 5: Solve for x
    x = 465,807,529,688.38/315,996.19
  6. Step 6: Final answer
    x = 1,474,092.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.