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Finding the Third Proportional to 318,190.50 and 686,193

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Solution

The third proportional to 318,190.50 and 686,193 is: 1,479,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,190.50 : 686,193 = 686,193 : x
  2. Step 2: Convert to fraction form
    318,190.50/686,193 = 686,193/x
  3. Step 3: Cross multiply
    318,190.50x = 686,193 × 686,193
  4. Step 4: Simplify right side
    318,190.50x = 470,860,833,249
  5. Step 5: Solve for x
    x = 470,860,833,249/318,190.50
  6. Step 6: Final answer
    x = 1,479,807.96

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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.