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Finding the Third Proportional to 312,420 and 646,992.75

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Solution

The third proportional to 312,420 and 646,992.75 is: 1,339,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,420 : 646,992.75 = 646,992.75 : x
  2. Step 2: Convert to fraction form
    312,420/646,992.75 = 646,992.75/x
  3. Step 3: Cross multiply
    312,420x = 646,992.75 × 646,992.75
  4. Step 4: Simplify right side
    312,420x = 418,599,618,552.56
  5. Step 5: Solve for x
    x = 418,599,618,552.56/312,420
  6. Step 6: Final answer
    x = 1,339,861.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.