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Finding the Third Proportional to 315,928 and 682,427

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Solution

The third proportional to 315,928 and 682,427 is: 1,474,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,928 : 682,427 = 682,427 : x
  2. Step 2: Convert to fraction form
    315,928/682,427 = 682,427/x
  3. Step 3: Cross multiply
    315,928x = 682,427 × 682,427
  4. Step 4: Simplify right side
    315,928x = 465,706,610,329
  5. Step 5: Solve for x
    x = 465,706,610,329/315,928
  6. Step 6: Final answer
    x = 1,474,090.96

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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.