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Finding the Third Proportional to 318,142.69 and 686,100.38

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Solution

The third proportional to 318,142.69 and 686,100.38 is: 1,479,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,142.69 : 686,100.38 = 686,100.38 : x
  2. Step 2: Convert to fraction form
    318,142.69/686,100.38 = 686,100.38/x
  3. Step 3: Cross multiply
    318,142.69x = 686,100.38 × 686,100.38
  4. Step 4: Simplify right side
    318,142.69x = 470,733,724,575.14
  5. Step 5: Solve for x
    x = 470,733,724,575.14/318,142.69
  6. Step 6: Final answer
    x = 1,479,630.82

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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.