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Finding the Third Proportional to 315,396 and 683,286

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Solution

The third proportional to 315,396 and 683,286 is: 1,480,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,396 : 683,286 = 683,286 : x
  2. Step 2: Convert to fraction form
    315,396/683,286 = 683,286/x
  3. Step 3: Cross multiply
    315,396x = 683,286 × 683,286
  4. Step 4: Simplify right side
    315,396x = 466,879,757,796
  5. Step 5: Solve for x
    x = 466,879,757,796/315,396
  6. Step 6: Final answer
    x = 1,480,297.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.