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Finding the Third Proportional to 734,136 and 967,500

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Solution

The third proportional to 734,136 and 967,500 is: 1,275,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,136 : 967,500 = 967,500 : x
  2. Step 2: Convert to fraction form
    734,136/967,500 = 967,500/x
  3. Step 3: Cross multiply
    734,136x = 967,500 × 967,500
  4. Step 4: Simplify right side
    734,136x = 936,056,250,000
  5. Step 5: Solve for x
    x = 936,056,250,000/734,136
  6. Step 6: Final answer
    x = 1,275,044.75

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.