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Finding the Third Proportional to 719,268.75 and 1,198,611

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Solution

The third proportional to 719,268.75 and 1,198,611 is: 1,997,401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,268.75 : 1,198,611 = 1,198,611 : x
  2. Step 2: Convert to fraction form
    719,268.75/1,198,611 = 1,198,611/x
  3. Step 3: Cross multiply
    719,268.75x = 1,198,611 × 1,198,611
  4. Step 4: Simplify right side
    719,268.75x = 1,436,668,329,321
  5. Step 5: Solve for x
    x = 1,436,668,329,321/719,268.75
  6. Step 6: Final answer
    x = 1,997,401.29

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.