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Finding the Third Proportional to 312,532 and 683,192

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Solution

The third proportional to 312,532 and 683,192 is: 1,493,451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,532 : 683,192 = 683,192 : x
  2. Step 2: Convert to fraction form
    312,532/683,192 = 683,192/x
  3. Step 3: Cross multiply
    312,532x = 683,192 × 683,192
  4. Step 4: Simplify right side
    312,532x = 466,751,308,864
  5. Step 5: Solve for x
    x = 466,751,308,864/312,532
  6. Step 6: Final answer
    x = 1,493,451.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.