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Finding the Third Proportional to 351,817 and 686,136.50

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Solution

The third proportional to 351,817 and 686,136.50 is: 1,338,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,817 : 686,136.50 = 686,136.50 : x
  2. Step 2: Convert to fraction form
    351,817/686,136.50 = 686,136.50/x
  3. Step 3: Cross multiply
    351,817x = 686,136.50 × 686,136.50
  4. Step 4: Simplify right side
    351,817x = 470,783,296,632.25
  5. Step 5: Solve for x
    x = 470,783,296,632.25/351,817
  6. Step 6: Final answer
    x = 1,338,148.23

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.