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Finding the Third Proportional to 318,204 and 686,214

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Solution

The third proportional to 318,204 and 686,214 is: 1,479,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,204 : 686,214 = 686,214 : x
  2. Step 2: Convert to fraction form
    318,204/686,214 = 686,214/x
  3. Step 3: Cross multiply
    318,204x = 686,214 × 686,214
  4. Step 4: Simplify right side
    318,204x = 470,889,653,796
  5. Step 5: Solve for x
    x = 470,889,653,796/318,204
  6. Step 6: Final answer
    x = 1,479,835.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.