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Finding the Third Proportional to 319,214 and 685,467

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Solution

The third proportional to 319,214 and 685,467 is: 1,471,943.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,214 : 685,467 = 685,467 : x
  2. Step 2: Convert to fraction form
    319,214/685,467 = 685,467/x
  3. Step 3: Cross multiply
    319,214x = 685,467 × 685,467
  4. Step 4: Simplify right side
    319,214x = 469,865,008,089
  5. Step 5: Solve for x
    x = 469,865,008,089/319,214
  6. Step 6: Final answer
    x = 1,471,943.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.