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Finding the Third Proportional to 312,864 and 683,094

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Solution

The third proportional to 312,864 and 683,094 is: 1,491,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,864 : 683,094 = 683,094 : x
  2. Step 2: Convert to fraction form
    312,864/683,094 = 683,094/x
  3. Step 3: Cross multiply
    312,864x = 683,094 × 683,094
  4. Step 4: Simplify right side
    312,864x = 466,617,412,836
  5. Step 5: Solve for x
    x = 466,617,412,836/312,864
  6. Step 6: Final answer
    x = 1,491,438.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.