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Finding the Third Proportional to 318,145.50 and 686,103.75

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Solution

The third proportional to 318,145.50 and 686,103.75 is: 1,479,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,145.50 : 686,103.75 = 686,103.75 : x
  2. Step 2: Convert to fraction form
    318,145.50/686,103.75 = 686,103.75/x
  3. Step 3: Cross multiply
    318,145.50x = 686,103.75 × 686,103.75
  4. Step 4: Simplify right side
    318,145.50x = 470,738,355,764.06
  5. Step 5: Solve for x
    x = 470,738,355,764.06/318,145.50
  6. Step 6: Final answer
    x = 1,479,632.29

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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.