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Finding the Third Proportional to 318,098 and 686,016

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Solution

The third proportional to 318,098 and 686,016 is: 1,479,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,098 : 686,016 = 686,016 : x
  2. Step 2: Convert to fraction form
    318,098/686,016 = 686,016/x
  3. Step 3: Cross multiply
    318,098x = 686,016 × 686,016
  4. Step 4: Simplify right side
    318,098x = 470,617,952,256
  5. Step 5: Solve for x
    x = 470,617,952,256/318,098
  6. Step 6: Final answer
    x = 1,479,474.73

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