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Finding the Third Proportional to 315,760 and 682,065

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Solution

The third proportional to 315,760 and 682,065 is: 1,473,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,760 : 682,065 = 682,065 : x
  2. Step 2: Convert to fraction form
    315,760/682,065 = 682,065/x
  3. Step 3: Cross multiply
    315,760x = 682,065 × 682,065
  4. Step 4: Simplify right side
    315,760x = 465,212,664,225
  5. Step 5: Solve for x
    x = 465,212,664,225/315,760
  6. Step 6: Final answer
    x = 1,473,310.95

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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.